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Finding the Fourth Proportional to 9,491.71, 14,228.43 and 6,372.57

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Solution

The fourth proportional to 9,491.71, 14,228.43 and 6,372.57 is: 9,552.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.71 : 14,228.43 = 6,372.57 : x
  2. Step 2: Convert to fraction form
    9,491.71/14,228.43 = 6,372.57/x
  3. Step 3: Cross multiply
    9,491.71x = 14,228.43 × 6,372.57
  4. Step 4: Simplify right side
    9,491.71x = 90,671,666.17
  5. Step 5: Solve for x
    x = 90,671,666.17/9,491.71
  6. Step 6: Final answer
    x = 9,552.72

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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.