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Finding the Fourth Proportional to 9,024.99, 12,454.23 and 5,046.46

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Solution

The fourth proportional to 9,024.99, 12,454.23 and 5,046.46 is: 6,963.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,024.99 : 12,454.23 = 5,046.46 : x
  2. Step 2: Convert to fraction form
    9,024.99/12,454.23 = 5,046.46/x
  3. Step 3: Cross multiply
    9,024.99x = 12,454.23 × 5,046.46
  4. Step 4: Simplify right side
    9,024.99x = 62,849,773.53
  5. Step 5: Solve for x
    x = 62,849,773.53/9,024.99
  6. Step 6: Final answer
    x = 6,963.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.