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Finding the Fourth Proportional to 27,856.46, 41,770.98 and 9,133.04

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Solution

The fourth proportional to 27,856.46, 41,770.98 and 9,133.04 is: 13,695.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,856.46 : 41,770.98 = 9,133.04 : x
  2. Step 2: Convert to fraction form
    27,856.46/41,770.98 = 9,133.04/x
  3. Step 3: Cross multiply
    27,856.46x = 41,770.98 × 9,133.04
  4. Step 4: Simplify right side
    27,856.46x = 381,495,822.32
  5. Step 5: Solve for x
    x = 381,495,822.32/27,856.46
  6. Step 6: Final answer
    x = 13,695.06

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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.