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Finding the Fourth Proportional to 6,166.90, 9,250.35 and 4,320.10

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Solution

The fourth proportional to 6,166.90, 9,250.35 and 4,320.10 is: 6,480.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.90 : 9,250.35 = 4,320.10 : x
  2. Step 2: Convert to fraction form
    6,166.90/9,250.35 = 4,320.10/x
  3. Step 3: Cross multiply
    6,166.90x = 9,250.35 × 4,320.10
  4. Step 4: Simplify right side
    6,166.90x = 39,962,437.04
  5. Step 5: Solve for x
    x = 39,962,437.04/6,166.90
  6. Step 6: Final answer
    x = 6,480.15

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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.