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Finding the Fourth Proportional to 6,444.60, 9,686.10 and 5,599.80

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Solution

The fourth proportional to 6,444.60, 9,686.10 and 5,599.80 is: 8,416.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.60 : 9,686.10 = 5,599.80 : x
  2. Step 2: Convert to fraction form
    6,444.60/9,686.10 = 5,599.80/x
  3. Step 3: Cross multiply
    6,444.60x = 9,686.10 × 5,599.80
  4. Step 4: Simplify right side
    6,444.60x = 54,240,222.78
  5. Step 5: Solve for x
    x = 54,240,222.78/6,444.60
  6. Step 6: Final answer
    x = 8,416.38

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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.