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Finding the Fourth Proportional to 9,057.86, 12,499.64 and 5,078.88

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Solution

The fourth proportional to 9,057.86, 12,499.64 and 5,078.88 is: 7,008.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057.86 : 12,499.64 = 5,078.88 : x
  2. Step 2: Convert to fraction form
    9,057.86/12,499.64 = 5,078.88/x
  3. Step 3: Cross multiply
    9,057.86x = 12,499.64 × 5,078.88
  4. Step 4: Simplify right side
    9,057.86x = 63,484,171.60
  5. Step 5: Solve for x
    x = 63,484,171.60/9,057.86
  6. Step 6: Final answer
    x = 7,008.74

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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.