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Finding the Fourth Proportional to 9,077.60, 13,616.40 and 5,967.20

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Solution

The fourth proportional to 9,077.60, 13,616.40 and 5,967.20 is: 8,950.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.60 : 13,616.40 = 5,967.20 : x
  2. Step 2: Convert to fraction form
    9,077.60/13,616.40 = 5,967.20/x
  3. Step 3: Cross multiply
    9,077.60x = 13,616.40 × 5,967.20
  4. Step 4: Simplify right side
    9,077.60x = 81,251,782.08
  5. Step 5: Solve for x
    x = 81,251,782.08/9,077.60
  6. Step 6: Final answer
    x = 8,950.80

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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.