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Finding the Fourth Proportional to 9,160.13, 12,641.04 and 4,968.38

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Solution

The fourth proportional to 9,160.13, 12,641.04 and 4,968.38 is: 6,856.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,160.13 : 12,641.04 = 4,968.38 : x
  2. Step 2: Convert to fraction form
    9,160.13/12,641.04 = 4,968.38/x
  3. Step 3: Cross multiply
    9,160.13x = 12,641.04 × 4,968.38
  4. Step 4: Simplify right side
    9,160.13x = 62,805,427.11
  5. Step 5: Solve for x
    x = 62,805,427.11/9,160.13
  6. Step 6: Final answer
    x = 6,856.39

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Why These Related Problems?

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