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Finding the Fourth Proportional to 6,436.60, 9,669.30 and 6,174.20

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Solution

The fourth proportional to 6,436.60, 9,669.30 and 6,174.20 is: 9,275.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436.60 : 9,669.30 = 6,174.20 : x
  2. Step 2: Convert to fraction form
    6,436.60/9,669.30 = 6,174.20/x
  3. Step 3: Cross multiply
    6,436.60x = 9,669.30 × 6,174.20
  4. Step 4: Simplify right side
    6,436.60x = 59,700,192.06
  5. Step 5: Solve for x
    x = 59,700,192.06/6,436.60
  6. Step 6: Final answer
    x = 9,275.11

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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.