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Finding the Fourth Proportional to 9,057.40, 12,498.63 and 5,078.47

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Solution

The fourth proportional to 9,057.40, 12,498.63 and 5,078.47 is: 7,007.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057.40 : 12,498.63 = 5,078.47 : x
  2. Step 2: Convert to fraction form
    9,057.40/12,498.63 = 5,078.47/x
  3. Step 3: Cross multiply
    9,057.40x = 12,498.63 × 5,078.47
  4. Step 4: Simplify right side
    9,057.40x = 63,473,917.50
  5. Step 5: Solve for x
    x = 63,473,917.50/9,057.40
  6. Step 6: Final answer
    x = 7,007.96

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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.