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Finding the Fourth Proportional to 6,417.76, 8,856.12 and 3,765.64

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Solution

The fourth proportional to 6,417.76, 8,856.12 and 3,765.64 is: 5,196.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.76 : 8,856.12 = 3,765.64 : x
  2. Step 2: Convert to fraction form
    6,417.76/8,856.12 = 3,765.64/x
  3. Step 3: Cross multiply
    6,417.76x = 8,856.12 × 3,765.64
  4. Step 4: Simplify right side
    6,417.76x = 33,348,959.72
  5. Step 5: Solve for x
    x = 33,348,959.72/6,417.76
  6. Step 6: Final answer
    x = 5,196.36

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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.