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Finding the Fourth Proportional to 6,340.18, 9,509.04 and 2,444.08

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Solution

The fourth proportional to 6,340.18, 9,509.04 and 2,444.08 is: 3,665.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.18 : 9,509.04 = 2,444.08 : x
  2. Step 2: Convert to fraction form
    6,340.18/9,509.04 = 2,444.08/x
  3. Step 3: Cross multiply
    6,340.18x = 9,509.04 × 2,444.08
  4. Step 4: Simplify right side
    6,340.18x = 23,240,854.48
  5. Step 5: Solve for x
    x = 23,240,854.48/6,340.18
  6. Step 6: Final answer
    x = 3,665.65

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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.