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Finding the Fourth Proportional to 9,421.90, 14,113.68 and 7,562.95

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Solution

The fourth proportional to 9,421.90, 14,113.68 and 7,562.95 is: 11,329.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,421.90 : 14,113.68 = 7,562.95 : x
  2. Step 2: Convert to fraction form
    9,421.90/14,113.68 = 7,562.95/x
  3. Step 3: Cross multiply
    9,421.90x = 14,113.68 × 7,562.95
  4. Step 4: Simplify right side
    9,421.90x = 106,741,056.16
  5. Step 5: Solve for x
    x = 106,741,056.16/9,421.90
  6. Step 6: Final answer
    x = 11,329.04

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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.