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Finding the Fourth Proportional to 9,005.60, 13,508.40 and 8,199.20

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Solution

The fourth proportional to 9,005.60, 13,508.40 and 8,199.20 is: 12,298.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,005.60 : 13,508.40 = 8,199.20 : x
  2. Step 2: Convert to fraction form
    9,005.60/13,508.40 = 8,199.20/x
  3. Step 3: Cross multiply
    9,005.60x = 13,508.40 × 8,199.20
  4. Step 4: Simplify right side
    9,005.60x = 110,758,073.28
  5. Step 5: Solve for x
    x = 110,758,073.28/9,005.60
  6. Step 6: Final answer
    x = 12,298.80

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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.