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Finding the Fourth Proportional to 9,913.28, 14,871 and 3,672.56

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Solution

The fourth proportional to 9,913.28, 14,871 and 3,672.56 is: 5,509.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.28 : 14,871 = 3,672.56 : x
  2. Step 2: Convert to fraction form
    9,913.28/14,871 = 3,672.56/x
  3. Step 3: Cross multiply
    9,913.28x = 14,871 × 3,672.56
  4. Step 4: Simplify right side
    9,913.28x = 54,614,639.76
  5. Step 5: Solve for x
    x = 54,614,639.76/9,913.28
  6. Step 6: Final answer
    x = 5,509.24

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