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Finding the Fourth Proportional to 9,471.40, 14,207.08 and 2,545.90

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Solution

The fourth proportional to 9,471.40, 14,207.08 and 2,545.90 is: 3,818.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.40 : 14,207.08 = 2,545.90 : x
  2. Step 2: Convert to fraction form
    9,471.40/14,207.08 = 2,545.90/x
  3. Step 3: Cross multiply
    9,471.40x = 14,207.08 × 2,545.90
  4. Step 4: Simplify right side
    9,471.40x = 36,169,804.97
  5. Step 5: Solve for x
    x = 36,169,804.97/9,471.40
  6. Step 6: Final answer
    x = 3,818.84

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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.