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Finding the Fourth Proportional to 9,470.34, 14,212.85 and 7,625.97

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Solution

The fourth proportional to 9,470.34, 14,212.85 and 7,625.97 is: 11,444.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.34 : 14,212.85 = 7,625.97 : x
  2. Step 2: Convert to fraction form
    9,470.34/14,212.85 = 7,625.97/x
  3. Step 3: Cross multiply
    9,470.34x = 14,212.85 × 7,625.97
  4. Step 4: Simplify right side
    9,470.34x = 108,386,767.71
  5. Step 5: Solve for x
    x = 108,386,767.71/9,470.34
  6. Step 6: Final answer
    x = 11,444.87

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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.