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Finding the Fourth Proportional to 6,844.60, 9,445.68 and 4,013.65

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Solution

The fourth proportional to 6,844.60, 9,445.68 and 4,013.65 is: 5,538.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844.60 : 9,445.68 = 4,013.65 : x
  2. Step 2: Convert to fraction form
    6,844.60/9,445.68 = 4,013.65/x
  3. Step 3: Cross multiply
    6,844.60x = 9,445.68 × 4,013.65
  4. Step 4: Simplify right side
    6,844.60x = 37,911,653.53
  5. Step 5: Solve for x
    x = 37,911,653.53/6,844.60
  6. Step 6: Final answer
    x = 5,538.91

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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.