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Finding the Fourth Proportional to 9,149.60, 13,722.96 and 3,303.20

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Solution

The fourth proportional to 9,149.60, 13,722.96 and 3,303.20 is: 4,954.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.60 : 13,722.96 = 3,303.20 : x
  2. Step 2: Convert to fraction form
    9,149.60/13,722.96 = 3,303.20/x
  3. Step 3: Cross multiply
    9,149.60x = 13,722.96 × 3,303.20
  4. Step 4: Simplify right side
    9,149.60x = 45,329,681.47
  5. Step 5: Solve for x
    x = 45,329,681.47/9,149.60
  6. Step 6: Final answer
    x = 4,954.28

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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.