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Finding the Fourth Proportional to 6,657.84, 9,186.16 and 4,886.32

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Solution

The fourth proportional to 6,657.84, 9,186.16 and 4,886.32 is: 6,741.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.84 : 9,186.16 = 4,886.32 : x
  2. Step 2: Convert to fraction form
    6,657.84/9,186.16 = 4,886.32/x
  3. Step 3: Cross multiply
    6,657.84x = 9,186.16 × 4,886.32
  4. Step 4: Simplify right side
    6,657.84x = 44,886,517.33
  5. Step 5: Solve for x
    x = 44,886,517.33/6,657.84
  6. Step 6: Final answer
    x = 6,741.90

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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.