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Finding the Fourth Proportional to 6,292.64, 9,438.20 and 1,675.52

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Solution

The fourth proportional to 6,292.64, 9,438.20 and 1,675.52 is: 2,513.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.64 : 9,438.20 = 1,675.52 : x
  2. Step 2: Convert to fraction form
    6,292.64/9,438.20 = 1,675.52/x
  3. Step 3: Cross multiply
    6,292.64x = 9,438.20 × 1,675.52
  4. Step 4: Simplify right side
    6,292.64x = 15,813,892.86
  5. Step 5: Solve for x
    x = 15,813,892.86/6,292.64
  6. Step 6: Final answer
    x = 2,513.08

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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.