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Finding the Fourth Proportional to 9,562.68, 14,344.68 and 2,989.80

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Solution

The fourth proportional to 9,562.68, 14,344.68 and 2,989.80 is: 4,484.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,562.68 : 14,344.68 = 2,989.80 : x
  2. Step 2: Convert to fraction form
    9,562.68/14,344.68 = 2,989.80/x
  3. Step 3: Cross multiply
    9,562.68x = 14,344.68 × 2,989.80
  4. Step 4: Simplify right side
    9,562.68x = 42,887,724.26
  5. Step 5: Solve for x
    x = 42,887,724.26/9,562.68
  6. Step 6: Final answer
    x = 4,484.91

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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.