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Finding the Fourth Proportional to 6,456.25, 8,904.76 and 4,470.13

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Solution

The fourth proportional to 6,456.25, 8,904.76 and 4,470.13 is: 6,165.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.25 : 8,904.76 = 4,470.13 : x
  2. Step 2: Convert to fraction form
    6,456.25/8,904.76 = 4,470.13/x
  3. Step 3: Cross multiply
    6,456.25x = 8,904.76 × 4,470.13
  4. Step 4: Simplify right side
    6,456.25x = 39,805,434.82
  5. Step 5: Solve for x
    x = 39,805,434.82/6,456.25
  6. Step 6: Final answer
    x = 6,165.41

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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.