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Finding the Fourth Proportional to 9,859.24, 14,758.46 and 6,523.88

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Solution

The fourth proportional to 9,859.24, 14,758.46 and 6,523.88 is: 9,765.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.24 : 14,758.46 = 6,523.88 : x
  2. Step 2: Convert to fraction form
    9,859.24/14,758.46 = 6,523.88/x
  3. Step 3: Cross multiply
    9,859.24x = 14,758.46 × 6,523.88
  4. Step 4: Simplify right side
    9,859.24x = 96,282,422.02
  5. Step 5: Solve for x
    x = 96,282,422.02/9,859.24
  6. Step 6: Final answer
    x = 9,765.70

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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.