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Finding the Fourth Proportional to 9,283.84, 13,917.12 and 6,363.52

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Solution

The fourth proportional to 9,283.84, 13,917.12 and 6,363.52 is: 9,539.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.84 : 13,917.12 = 6,363.52 : x
  2. Step 2: Convert to fraction form
    9,283.84/13,917.12 = 6,363.52/x
  3. Step 3: Cross multiply
    9,283.84x = 13,917.12 × 6,363.52
  4. Step 4: Simplify right side
    9,283.84x = 88,561,871.46
  5. Step 5: Solve for x
    x = 88,561,871.46/9,283.84
  6. Step 6: Final answer
    x = 9,539.36

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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.