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Finding the Fourth Proportional to 9,160.42, 12,641.46 and 4,968.68

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Solution

The fourth proportional to 9,160.42, 12,641.46 and 4,968.68 is: 6,856.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,160.42 : 12,641.46 = 4,968.68 : x
  2. Step 2: Convert to fraction form
    9,160.42/12,641.46 = 4,968.68/x
  3. Step 3: Cross multiply
    9,160.42x = 12,641.46 × 4,968.68
  4. Step 4: Simplify right side
    9,160.42x = 62,811,369.47
  5. Step 5: Solve for x
    x = 62,811,369.47/9,160.42
  6. Step 6: Final answer
    x = 6,856.82

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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.