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Finding the Fourth Proportional to 9,637, 14,458.53 and 3,396.76

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Solution

The fourth proportional to 9,637, 14,458.53 and 3,396.76 is: 5,096.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637 : 14,458.53 = 3,396.76 : x
  2. Step 2: Convert to fraction form
    9,637/14,458.53 = 3,396.76/x
  3. Step 3: Cross multiply
    9,637x = 14,458.53 × 3,396.76
  4. Step 4: Simplify right side
    9,637x = 49,112,156.36
  5. Step 5: Solve for x
    x = 49,112,156.36/9,637
  6. Step 6: Final answer
    x = 5,096.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.