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Finding the Fourth Proportional to 9,521.60, 14,271.36 and 5,629.28

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Solution

The fourth proportional to 9,521.60, 14,271.36 and 5,629.28 is: 8,437.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,521.60 : 14,271.36 = 5,629.28 : x
  2. Step 2: Convert to fraction form
    9,521.60/14,271.36 = 5,629.28/x
  3. Step 3: Cross multiply
    9,521.60x = 14,271.36 × 5,629.28
  4. Step 4: Simplify right side
    9,521.60x = 80,337,481.42
  5. Step 5: Solve for x
    x = 80,337,481.42/9,521.60
  6. Step 6: Final answer
    x = 8,437.39

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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.