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Finding the Fourth Proportional to 9,473.64, 14,202.81 and 5,775.18

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Solution

The fourth proportional to 9,473.64, 14,202.81 and 5,775.18 is: 8,658.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,473.64 : 14,202.81 = 5,775.18 : x
  2. Step 2: Convert to fraction form
    9,473.64/14,202.81 = 5,775.18/x
  3. Step 3: Cross multiply
    9,473.64x = 14,202.81 × 5,775.18
  4. Step 4: Simplify right side
    9,473.64x = 82,023,784.26
  5. Step 5: Solve for x
    x = 82,023,784.26/9,473.64
  6. Step 6: Final answer
    x = 8,658.11

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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.