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Finding the Fourth Proportional to 9,686.58, 13,368.71 and 5,708.06

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Solution

The fourth proportional to 9,686.58, 13,368.71 and 5,708.06 is: 7,877.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.58 : 13,368.71 = 5,708.06 : x
  2. Step 2: Convert to fraction form
    9,686.58/13,368.71 = 5,708.06/x
  3. Step 3: Cross multiply
    9,686.58x = 13,368.71 × 5,708.06
  4. Step 4: Simplify right side
    9,686.58x = 76,309,398.80
  5. Step 5: Solve for x
    x = 76,309,398.80/9,686.58
  6. Step 6: Final answer
    x = 7,877.85

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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.