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Finding the Fourth Proportional to 9,411.71, 14,106.17 and 5,247.30

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Solution

The fourth proportional to 9,411.71, 14,106.17 and 5,247.30 is: 7,864.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.71 : 14,106.17 = 5,247.30 : x
  2. Step 2: Convert to fraction form
    9,411.71/14,106.17 = 5,247.30/x
  3. Step 3: Cross multiply
    9,411.71x = 14,106.17 × 5,247.30
  4. Step 4: Simplify right side
    9,411.71x = 74,019,235.31
  5. Step 5: Solve for x
    x = 74,019,235.31/9,411.71
  6. Step 6: Final answer
    x = 7,864.59

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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.