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Finding the Fourth Proportional to 6,909.14, 10,363.85 and 1,714.88

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Solution

The fourth proportional to 6,909.14, 10,363.85 and 1,714.88 is: 2,572.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.14 : 10,363.85 = 1,714.88 : x
  2. Step 2: Convert to fraction form
    6,909.14/10,363.85 = 1,714.88/x
  3. Step 3: Cross multiply
    6,909.14x = 10,363.85 × 1,714.88
  4. Step 4: Simplify right side
    6,909.14x = 17,772,698.69
  5. Step 5: Solve for x
    x = 17,772,698.69/6,909.14
  6. Step 6: Final answer
    x = 2,572.35

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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.