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Finding the Fourth Proportional to 9,712.01, 14,572.43 and 4,711.68

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Solution

The fourth proportional to 9,712.01, 14,572.43 and 4,711.68 is: 7,069.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.01 : 14,572.43 = 4,711.68 : x
  2. Step 2: Convert to fraction form
    9,712.01/14,572.43 = 4,711.68/x
  3. Step 3: Cross multiply
    9,712.01x = 14,572.43 × 4,711.68
  4. Step 4: Simplify right side
    9,712.01x = 68,660,626.98
  5. Step 5: Solve for x
    x = 68,660,626.98/9,712.01
  6. Step 6: Final answer
    x = 7,069.66

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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.