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Finding the Fourth Proportional to 4,338.73, 6,509.65 and 1,417.04

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Solution

The fourth proportional to 4,338.73, 6,509.65 and 1,417.04 is: 2,126.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,338.73 : 6,509.65 = 1,417.04 : x
  2. Step 2: Convert to fraction form
    4,338.73/6,509.65 = 1,417.04/x
  3. Step 3: Cross multiply
    4,338.73x = 6,509.65 × 1,417.04
  4. Step 4: Simplify right side
    4,338.73x = 9,224,434.44
  5. Step 5: Solve for x
    x = 9,224,434.44/4,338.73
  6. Step 6: Final answer
    x = 2,126.07

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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.