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Finding the Fourth Proportional to 6,886.24, 9,503.04 and 4,091.76

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Solution

The fourth proportional to 6,886.24, 9,503.04 and 4,091.76 is: 5,646.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.24 : 9,503.04 = 4,091.76 : x
  2. Step 2: Convert to fraction form
    6,886.24/9,503.04 = 4,091.76/x
  3. Step 3: Cross multiply
    6,886.24x = 9,503.04 × 4,091.76
  4. Step 4: Simplify right side
    6,886.24x = 38,884,158.95
  5. Step 5: Solve for x
    x = 38,884,158.95/6,886.24
  6. Step 6: Final answer
    x = 5,646.65

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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.