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Finding the Fourth Proportional to 6,841.68, 9,441.48 and 4,188.72

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Solution

The fourth proportional to 6,841.68, 9,441.48 and 4,188.72 is: 5,780.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.68 : 9,441.48 = 4,188.72 : x
  2. Step 2: Convert to fraction form
    6,841.68/9,441.48 = 4,188.72/x
  3. Step 3: Cross multiply
    6,841.68x = 9,441.48 × 4,188.72
  4. Step 4: Simplify right side
    6,841.68x = 39,547,716.11
  5. Step 5: Solve for x
    x = 39,547,716.11/6,841.68
  6. Step 6: Final answer
    x = 5,780.41

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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.