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Finding the Fourth Proportional to 9,159.88, 12,640.64 and 4,968.13

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Solution

The fourth proportional to 9,159.88, 12,640.64 and 4,968.13 is: 6,856.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,159.88 : 12,640.64 = 4,968.13 : x
  2. Step 2: Convert to fraction form
    9,159.88/12,640.64 = 4,968.13/x
  3. Step 3: Cross multiply
    9,159.88x = 12,640.64 × 4,968.13
  4. Step 4: Simplify right side
    9,159.88x = 62,800,342.80
  5. Step 5: Solve for x
    x = 62,800,342.80/9,159.88
  6. Step 6: Final answer
    x = 6,856.02

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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.