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Finding the Fourth Proportional to 6,456.71, 9,684.00 and 6,036.42

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Solution

The fourth proportional to 6,456.71, 9,684.00 and 6,036.42 is: 9,053.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.71 : 9,684.00 = 6,036.42 : x
  2. Step 2: Convert to fraction form
    6,456.71/9,684.00 = 6,036.42/x
  3. Step 3: Cross multiply
    6,456.71x = 9,684.00 × 6,036.42
  4. Step 4: Simplify right side
    6,456.71x = 58,456,661.10
  5. Step 5: Solve for x
    x = 58,456,661.10/6,456.71
  6. Step 6: Final answer
    x = 9,053.64

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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.