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Finding the Fourth Proportional to 9,859.52, 14,776.20 and 3,613.76

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Solution

The fourth proportional to 9,859.52, 14,776.20 and 3,613.76 is: 5,415.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.52 : 14,776.20 = 3,613.76 : x
  2. Step 2: Convert to fraction form
    9,859.52/14,776.20 = 3,613.76/x
  3. Step 3: Cross multiply
    9,859.52x = 14,776.20 × 3,613.76
  4. Step 4: Simplify right side
    9,859.52x = 53,397,640.51
  5. Step 5: Solve for x
    x = 53,397,640.51/9,859.52
  6. Step 6: Final answer
    x = 5,415.85

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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.