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Finding the Fourth Proportional to 6,609.60, 9,979.20 and 6,415.20

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Solution

The fourth proportional to 6,609.60, 9,979.20 and 6,415.20 is: 9,685.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,609.60 : 9,979.20 = 6,415.20 : x
  2. Step 2: Convert to fraction form
    6,609.60/9,979.20 = 6,415.20/x
  3. Step 3: Cross multiply
    6,609.60x = 9,979.20 × 6,415.20
  4. Step 4: Simplify right side
    6,609.60x = 64,018,563.84
  5. Step 5: Solve for x
    x = 64,018,563.84/6,609.60
  6. Step 6: Final answer
    x = 9,685.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.