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Finding the Fourth Proportional to 10,614.16, 15,843.40 and 9,368.76

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Solution

The fourth proportional to 10,614.16, 15,843.40 and 9,368.76 is: 13,984.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.16 : 15,843.40 = 9,368.76 : x
  2. Step 2: Convert to fraction form
    10,614.16/15,843.40 = 9,368.76/x
  3. Step 3: Cross multiply
    10,614.16x = 15,843.40 × 9,368.76
  4. Step 4: Simplify right side
    10,614.16x = 148,433,012.18
  5. Step 5: Solve for x
    x = 148,433,012.18/10,614.16
  6. Step 6: Final answer
    x = 13,984.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.