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Finding the Fourth Proportional to 9,101.90, 13,650.55 and 6,461.66

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Solution

The fourth proportional to 9,101.90, 13,650.55 and 6,461.66 is: 9,690.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.90 : 13,650.55 = 6,461.66 : x
  2. Step 2: Convert to fraction form
    9,101.90/13,650.55 = 6,461.66/x
  3. Step 3: Cross multiply
    9,101.90x = 13,650.55 × 6,461.66
  4. Step 4: Simplify right side
    9,101.90x = 88,205,212.91
  5. Step 5: Solve for x
    x = 88,205,212.91/9,101.90
  6. Step 6: Final answer
    x = 9,690.86

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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.