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Finding the Fourth Proportional to 9,042.78, 12,479.16 and 5,897.16

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Solution

The fourth proportional to 9,042.78, 12,479.16 and 5,897.16 is: 8,138.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.78 : 12,479.16 = 5,897.16 : x
  2. Step 2: Convert to fraction form
    9,042.78/12,479.16 = 5,897.16/x
  3. Step 3: Cross multiply
    9,042.78x = 12,479.16 × 5,897.16
  4. Step 4: Simplify right side
    9,042.78x = 73,591,603.19
  5. Step 5: Solve for x
    x = 73,591,603.19/9,042.78
  6. Step 6: Final answer
    x = 8,138.16

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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.