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Finding the Fourth Proportional to 9,856.80, 14,781.06 and 4,588.56

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Solution

The fourth proportional to 9,856.80, 14,781.06 and 4,588.56 is: 6,880.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.80 : 14,781.06 = 4,588.56 : x
  2. Step 2: Convert to fraction form
    9,856.80/14,781.06 = 4,588.56/x
  3. Step 3: Cross multiply
    9,856.80x = 14,781.06 × 4,588.56
  4. Step 4: Simplify right side
    9,856.80x = 67,823,780.67
  5. Step 5: Solve for x
    x = 67,823,780.67/9,856.80
  6. Step 6: Final answer
    x = 6,880.91

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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.