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Finding the Fourth Proportional to 9,488.42, 14,232.60 and 2,562.92

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Solution

The fourth proportional to 9,488.42, 14,232.60 and 2,562.92 is: 3,844.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.42 : 14,232.60 = 2,562.92 : x
  2. Step 2: Convert to fraction form
    9,488.42/14,232.60 = 2,562.92/x
  3. Step 3: Cross multiply
    9,488.42x = 14,232.60 × 2,562.92
  4. Step 4: Simplify right side
    9,488.42x = 36,477,015.19
  5. Step 5: Solve for x
    x = 36,477,015.19/9,488.42
  6. Step 6: Final answer
    x = 3,844.37

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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.