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Finding the Fourth Proportional to 9,464.52, 14,200.92 and 5,298.28

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Solution

The fourth proportional to 9,464.52, 14,200.92 and 5,298.28 is: 7,949.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.52 : 14,200.92 = 5,298.28 : x
  2. Step 2: Convert to fraction form
    9,464.52/14,200.92 = 5,298.28/x
  3. Step 3: Cross multiply
    9,464.52x = 14,200.92 × 5,298.28
  4. Step 4: Simplify right side
    9,464.52x = 75,240,450.42
  5. Step 5: Solve for x
    x = 75,240,450.42/9,464.52
  6. Step 6: Final answer
    x = 7,949.74

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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.