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Finding the Fourth Proportional to 9,024.94, 12,454.70 and 5,046.22

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Solution

The fourth proportional to 9,024.94, 12,454.70 and 5,046.22 is: 6,963.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,024.94 : 12,454.70 = 5,046.22 : x
  2. Step 2: Convert to fraction form
    9,024.94/12,454.70 = 5,046.22/x
  3. Step 3: Cross multiply
    9,024.94x = 12,454.70 × 5,046.22
  4. Step 4: Simplify right side
    9,024.94x = 62,849,156.23
  5. Step 5: Solve for x
    x = 62,849,156.23/9,024.94
  6. Step 6: Final answer
    x = 6,963.94

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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.