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Finding the Fourth Proportional to 9,856.88, 14,785.32 and 5,750

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Solution

The fourth proportional to 9,856.88, 14,785.32 and 5,750 is: 8,625

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.88 : 14,785.32 = 5,750 : x
  2. Step 2: Convert to fraction form
    9,856.88/14,785.32 = 5,750/x
  3. Step 3: Cross multiply
    9,856.88x = 14,785.32 × 5,750
  4. Step 4: Simplify right side
    9,856.88x = 85,015,590
  5. Step 5: Solve for x
    x = 85,015,590/9,856.88
  6. Step 6: Final answer
    x = 8,625

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.