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Finding the Fourth Proportional to 9,148.66, 13,722.82 and 2,909.10

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Solution

The fourth proportional to 9,148.66, 13,722.82 and 2,909.10 is: 4,363.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.66 : 13,722.82 = 2,909.10 : x
  2. Step 2: Convert to fraction form
    9,148.66/13,722.82 = 2,909.10/x
  3. Step 3: Cross multiply
    9,148.66x = 13,722.82 × 2,909.10
  4. Step 4: Simplify right side
    9,148.66x = 39,921,080.55
  5. Step 5: Solve for x
    x = 39,921,080.55/9,148.66
  6. Step 6: Final answer
    x = 4,363.60

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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.