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Finding the Fourth Proportional to 9,282.84, 13,921.02 and 4,087.32

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Solution

The fourth proportional to 9,282.84, 13,921.02 and 4,087.32 is: 6,129.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.84 : 13,921.02 = 4,087.32 : x
  2. Step 2: Convert to fraction form
    9,282.84/13,921.02 = 4,087.32/x
  3. Step 3: Cross multiply
    9,282.84x = 13,921.02 × 4,087.32
  4. Step 4: Simplify right side
    9,282.84x = 56,899,663.47
  5. Step 5: Solve for x
    x = 56,899,663.47/9,282.84
  6. Step 6: Final answer
    x = 6,129.55

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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.