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Finding the Fourth Proportional to 6,909.66, 9,525.28 and 4,781.94

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Solution

The fourth proportional to 6,909.66, 9,525.28 and 4,781.94 is: 6,592.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.66 : 9,525.28 = 4,781.94 : x
  2. Step 2: Convert to fraction form
    6,909.66/9,525.28 = 4,781.94/x
  3. Step 3: Cross multiply
    6,909.66x = 9,525.28 × 4,781.94
  4. Step 4: Simplify right side
    6,909.66x = 45,549,317.44
  5. Step 5: Solve for x
    x = 45,549,317.44/6,909.66
  6. Step 6: Final answer
    x = 6,592.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.