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Finding the Fourth Proportional to 9,301.84, 13,952.78 and 2,281.88

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Solution

The fourth proportional to 9,301.84, 13,952.78 and 2,281.88 is: 3,422.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.84 : 13,952.78 = 2,281.88 : x
  2. Step 2: Convert to fraction form
    9,301.84/13,952.78 = 2,281.88/x
  3. Step 3: Cross multiply
    9,301.84x = 13,952.78 × 2,281.88
  4. Step 4: Simplify right side
    9,301.84x = 31,838,569.63
  5. Step 5: Solve for x
    x = 31,838,569.63/9,301.84
  6. Step 6: Final answer
    x = 3,422.82

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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.