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Finding the Fourth Proportional to 9,142.95, 12,617.26 and 4,951.20

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Solution

The fourth proportional to 9,142.95, 12,617.26 and 4,951.20 is: 6,832.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.95 : 12,617.26 = 4,951.20 : x
  2. Step 2: Convert to fraction form
    9,142.95/12,617.26 = 4,951.20/x
  3. Step 3: Cross multiply
    9,142.95x = 12,617.26 × 4,951.20
  4. Step 4: Simplify right side
    9,142.95x = 62,470,577.71
  5. Step 5: Solve for x
    x = 62,470,577.71/9,142.95
  6. Step 6: Final answer
    x = 6,832.65

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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.