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Finding the Fourth Proportional to 9,709.58, 13,395.02 and 6,121.71

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Solution

The fourth proportional to 9,709.58, 13,395.02 and 6,121.71 is: 8,445.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.58 : 13,395.02 = 6,121.71 : x
  2. Step 2: Convert to fraction form
    9,709.58/13,395.02 = 6,121.71/x
  3. Step 3: Cross multiply
    9,709.58x = 13,395.02 × 6,121.71
  4. Step 4: Simplify right side
    9,709.58x = 82,000,397.28
  5. Step 5: Solve for x
    x = 82,000,397.28/9,709.58
  6. Step 6: Final answer
    x = 8,445.31

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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.