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Finding the Fourth Proportional to 9,497.70, 14,246.55 and 7,652.43

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Solution

The fourth proportional to 9,497.70, 14,246.55 and 7,652.43 is: 11,478.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.70 : 14,246.55 = 7,652.43 : x
  2. Step 2: Convert to fraction form
    9,497.70/14,246.55 = 7,652.43/x
  3. Step 3: Cross multiply
    9,497.70x = 14,246.55 × 7,652.43
  4. Step 4: Simplify right side
    9,497.70x = 109,020,726.62
  5. Step 5: Solve for x
    x = 109,020,726.62/9,497.70
  6. Step 6: Final answer
    x = 11,478.65

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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.