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Finding the Fourth Proportional to 8,884.69, 12,261.02 and 5,746.34

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Solution

The fourth proportional to 8,884.69, 12,261.02 and 5,746.34 is: 7,930.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,884.69 : 12,261.02 = 5,746.34 : x
  2. Step 2: Convert to fraction form
    8,884.69/12,261.02 = 5,746.34/x
  3. Step 3: Cross multiply
    8,884.69x = 12,261.02 × 5,746.34
  4. Step 4: Simplify right side
    8,884.69x = 70,456,023.91
  5. Step 5: Solve for x
    x = 70,456,023.91/8,884.69
  6. Step 6: Final answer
    x = 7,930.05

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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.