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Finding the Fourth Proportional to 9,572.12, 14,358.60 and 5,127.92

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Solution

The fourth proportional to 9,572.12, 14,358.60 and 5,127.92 is: 7,692.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.12 : 14,358.60 = 5,127.92 : x
  2. Step 2: Convert to fraction form
    9,572.12/14,358.60 = 5,127.92/x
  3. Step 3: Cross multiply
    9,572.12x = 14,358.60 × 5,127.92
  4. Step 4: Simplify right side
    9,572.12x = 73,629,752.11
  5. Step 5: Solve for x
    x = 73,629,752.11/9,572.12
  6. Step 6: Final answer
    x = 7,692.10

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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.