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Finding the Fourth Proportional to 9,712.85, 14,569.27 and 4,162.59

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Solution

The fourth proportional to 9,712.85, 14,569.27 and 4,162.59 is: 6,243.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.85 : 14,569.27 = 4,162.59 : x
  2. Step 2: Convert to fraction form
    9,712.85/14,569.27 = 4,162.59/x
  3. Step 3: Cross multiply
    9,712.85x = 14,569.27 × 4,162.59
  4. Step 4: Simplify right side
    9,712.85x = 60,645,887.20
  5. Step 5: Solve for x
    x = 60,645,887.20/9,712.85
  6. Step 6: Final answer
    x = 6,243.89

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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.