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Finding the Fourth Proportional to 9,713.77, 13,407.13 and 6,176.29

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Solution

The fourth proportional to 9,713.77, 13,407.13 and 6,176.29 is: 8,524.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.77 : 13,407.13 = 6,176.29 : x
  2. Step 2: Convert to fraction form
    9,713.77/13,407.13 = 6,176.29/x
  3. Step 3: Cross multiply
    9,713.77x = 13,407.13 × 6,176.29
  4. Step 4: Simplify right side
    9,713.77x = 82,806,322.95
  5. Step 5: Solve for x
    x = 82,806,322.95/9,713.77
  6. Step 6: Final answer
    x = 8,524.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.