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Finding the Fourth Proportional to 6,159.65, 9,246.38 and 2,464.45

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Solution

The fourth proportional to 6,159.65, 9,246.38 and 2,464.45 is: 3,699.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.65 : 9,246.38 = 2,464.45 : x
  2. Step 2: Convert to fraction form
    6,159.65/9,246.38 = 2,464.45/x
  3. Step 3: Cross multiply
    6,159.65x = 9,246.38 × 2,464.45
  4. Step 4: Simplify right side
    6,159.65x = 22,787,228.87
  5. Step 5: Solve for x
    x = 22,787,228.87/6,159.65
  6. Step 6: Final answer
    x = 3,699.44

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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.