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Finding the Fourth Proportional to 9,862.25, 14,756.31 and 5,898.92

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Solution

The fourth proportional to 9,862.25, 14,756.31 and 5,898.92 is: 8,826.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.25 : 14,756.31 = 5,898.92 : x
  2. Step 2: Convert to fraction form
    9,862.25/14,756.31 = 5,898.92/x
  3. Step 3: Cross multiply
    9,862.25x = 14,756.31 × 5,898.92
  4. Step 4: Simplify right side
    9,862.25x = 87,046,188.91
  5. Step 5: Solve for x
    x = 87,046,188.91/9,862.25
  6. Step 6: Final answer
    x = 8,826.20

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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.