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Finding the Fourth Proportional to 9,971,709.51, 13,758,615.21 and 6,051,377.15

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Solution

The fourth proportional to 9,971,709.51, 13,758,615.21 and 6,051,377.15 is: 8,349,478.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971,709.51 : 13,758,615.21 = 6,051,377.15 : x
  2. Step 2: Convert to fraction form
    9,971,709.51/13,758,615.21 = 6,051,377.15/x
  3. Step 3: Cross multiply
    9,971,709.51x = 13,758,615.21 × 6,051,377.15
  4. Step 4: Simplify right side
    9,971,709.51x = 83,258,569,697,436.47
  5. Step 5: Solve for x
    x = 83,258,569,697,436.47/9,971,709.51
  6. Step 6: Final answer
    x = 8,349,478.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.