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Finding the Fourth Proportional to 6,909.42, 10,342.11 and 5,506.95

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Solution

The fourth proportional to 6,909.42, 10,342.11 and 5,506.95 is: 8,242.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.42 : 10,342.11 = 5,506.95 : x
  2. Step 2: Convert to fraction form
    6,909.42/10,342.11 = 5,506.95/x
  3. Step 3: Cross multiply
    6,909.42x = 10,342.11 × 5,506.95
  4. Step 4: Simplify right side
    6,909.42x = 56,953,482.66
  5. Step 5: Solve for x
    x = 56,953,482.66/6,909.42
  6. Step 6: Final answer
    x = 8,242.87

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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.