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Finding the Fourth Proportional to 9,572.52, 14,358.78 and 2,999.21

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Solution

The fourth proportional to 9,572.52, 14,358.78 and 2,999.21 is: 4,498.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.52 : 14,358.78 = 2,999.21 : x
  2. Step 2: Convert to fraction form
    9,572.52/14,358.78 = 2,999.21/x
  3. Step 3: Cross multiply
    9,572.52x = 14,358.78 × 2,999.21
  4. Step 4: Simplify right side
    9,572.52x = 43,065,070.33
  5. Step 5: Solve for x
    x = 43,065,070.33/9,572.52
  6. Step 6: Final answer
    x = 4,498.82

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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.