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Finding the Fourth Proportional to 6,741.66, 9,302.25 and 5,123.28

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Solution

The fourth proportional to 6,741.66, 9,302.25 and 5,123.28 is: 7,069.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741.66 : 9,302.25 = 5,123.28 : x
  2. Step 2: Convert to fraction form
    6,741.66/9,302.25 = 5,123.28/x
  3. Step 3: Cross multiply
    6,741.66x = 9,302.25 × 5,123.28
  4. Step 4: Simplify right side
    6,741.66x = 47,658,031.38
  5. Step 5: Solve for x
    x = 47,658,031.38/6,741.66
  6. Step 6: Final answer
    x = 7,069.18

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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.