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Finding the Fourth Proportional to 9,177.83, 12,670.65 and 6,043.13

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Solution

The fourth proportional to 9,177.83, 12,670.65 and 6,043.13 is: 8,342.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,177.83 : 12,670.65 = 6,043.13 : x
  2. Step 2: Convert to fraction form
    9,177.83/12,670.65 = 6,043.13/x
  3. Step 3: Cross multiply
    9,177.83x = 12,670.65 × 6,043.13
  4. Step 4: Simplify right side
    9,177.83x = 76,570,369.30
  5. Step 5: Solve for x
    x = 76,570,369.30/9,177.83
  6. Step 6: Final answer
    x = 8,342.97

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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.