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Finding the Fourth Proportional to 6,987.35, 9,643.71 and 4,193.39

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Solution

The fourth proportional to 6,987.35, 9,643.71 and 4,193.39 is: 5,787.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.35 : 9,643.71 = 4,193.39 : x
  2. Step 2: Convert to fraction form
    6,987.35/9,643.71 = 4,193.39/x
  3. Step 3: Cross multiply
    6,987.35x = 9,643.71 × 4,193.39
  4. Step 4: Simplify right side
    6,987.35x = 40,439,788.86
  5. Step 5: Solve for x
    x = 40,439,788.86/6,987.35
  6. Step 6: Final answer
    x = 5,787.58

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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.