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Finding the Fourth Proportional to 9,405.60, 14,113.80 and 3,566.40

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Solution

The fourth proportional to 9,405.60, 14,113.80 and 3,566.40 is: 5,351.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.60 : 14,113.80 = 3,566.40 : x
  2. Step 2: Convert to fraction form
    9,405.60/14,113.80 = 3,566.40/x
  3. Step 3: Cross multiply
    9,405.60x = 14,113.80 × 3,566.40
  4. Step 4: Simplify right side
    9,405.60x = 50,335,456.32
  5. Step 5: Solve for x
    x = 50,335,456.32/9,405.60
  6. Step 6: Final answer
    x = 5,351.65

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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.