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Finding the Fourth Proportional to 9,159.75, 12,640.47 and 4,968

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Solution

The fourth proportional to 9,159.75, 12,640.47 and 4,968 is: 6,855.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,159.75 : 12,640.47 = 4,968 : x
  2. Step 2: Convert to fraction form
    9,159.75/12,640.47 = 4,968/x
  3. Step 3: Cross multiply
    9,159.75x = 12,640.47 × 4,968
  4. Step 4: Simplify right side
    9,159.75x = 62,797,854.96
  5. Step 5: Solve for x
    x = 62,797,854.96/9,159.75
  6. Step 6: Final answer
    x = 6,855.85

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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.