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Finding the Fourth Proportional to 9,641.68, 14,462.78 and 4,715.24

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Solution

The fourth proportional to 9,641.68, 14,462.78 and 4,715.24 is: 7,072.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.68 : 14,462.78 = 4,715.24 : x
  2. Step 2: Convert to fraction form
    9,641.68/14,462.78 = 4,715.24/x
  3. Step 3: Cross multiply
    9,641.68x = 14,462.78 × 4,715.24
  4. Step 4: Simplify right side
    9,641.68x = 68,195,478.77
  5. Step 5: Solve for x
    x = 68,195,478.77/9,641.68
  6. Step 6: Final answer
    x = 7,072.99

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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.