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Finding the Fourth Proportional to 9,488.36, 14,232.54 and 3,248.46

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Solution

The fourth proportional to 9,488.36, 14,232.54 and 3,248.46 is: 4,872.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.36 : 14,232.54 = 3,248.46 : x
  2. Step 2: Convert to fraction form
    9,488.36/14,232.54 = 3,248.46/x
  3. Step 3: Cross multiply
    9,488.36x = 14,232.54 × 3,248.46
  4. Step 4: Simplify right side
    9,488.36x = 46,233,836.89
  5. Step 5: Solve for x
    x = 46,233,836.89/9,488.36
  6. Step 6: Final answer
    x = 4,872.69

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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.