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Finding the Fourth Proportional to 7,008.96, 9,671.88 and 3,865.35

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Solution

The fourth proportional to 7,008.96, 9,671.88 and 3,865.35 is: 5,333.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,008.96 : 9,671.88 = 3,865.35 : x
  2. Step 2: Convert to fraction form
    7,008.96/9,671.88 = 3,865.35/x
  3. Step 3: Cross multiply
    7,008.96x = 9,671.88 × 3,865.35
  4. Step 4: Simplify right side
    7,008.96x = 37,385,201.36
  5. Step 5: Solve for x
    x = 37,385,201.36/7,008.96
  6. Step 6: Final answer
    x = 5,333.92

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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.