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Finding the Fourth Proportional to 9,562.92, 14,323.26 and 7,355.40

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Solution

The fourth proportional to 9,562.92, 14,323.26 and 7,355.40 is: 11,016.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,562.92 : 14,323.26 = 7,355.40 : x
  2. Step 2: Convert to fraction form
    9,562.92/14,323.26 = 7,355.40/x
  3. Step 3: Cross multiply
    9,562.92x = 14,323.26 × 7,355.40
  4. Step 4: Simplify right side
    9,562.92x = 105,353,306.60
  5. Step 5: Solve for x
    x = 105,353,306.60/9,562.92
  6. Step 6: Final answer
    x = 11,016.86

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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.