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Finding the Fourth Proportional to 6,909.12, 10,364.16 and 2,292

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Solution

The fourth proportional to 6,909.12, 10,364.16 and 2,292 is: 3,438.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.12 : 10,364.16 = 2,292 : x
  2. Step 2: Convert to fraction form
    6,909.12/10,364.16 = 2,292/x
  3. Step 3: Cross multiply
    6,909.12x = 10,364.16 × 2,292
  4. Step 4: Simplify right side
    6,909.12x = 23,754,654.72
  5. Step 5: Solve for x
    x = 23,754,654.72/6,909.12
  6. Step 6: Final answer
    x = 3,438.16

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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.