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Finding the Fourth Proportional to 6,471.48, 9,711.86 and 4,386.30

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Solution

The fourth proportional to 6,471.48, 9,711.86 and 4,386.30 is: 6,582.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.48 : 9,711.86 = 4,386.30 : x
  2. Step 2: Convert to fraction form
    6,471.48/9,711.86 = 4,386.30/x
  3. Step 3: Cross multiply
    6,471.48x = 9,711.86 × 4,386.30
  4. Step 4: Simplify right side
    6,471.48x = 42,599,131.52
  5. Step 5: Solve for x
    x = 42,599,131.52/6,471.48
  6. Step 6: Final answer
    x = 6,582.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.