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Finding the Fourth Proportional to 7,165.78, 9,886.40 and 4,334.02

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Solution

The fourth proportional to 7,165.78, 9,886.40 and 4,334.02 is: 5,979.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.78 : 9,886.40 = 4,334.02 : x
  2. Step 2: Convert to fraction form
    7,165.78/9,886.40 = 4,334.02/x
  3. Step 3: Cross multiply
    7,165.78x = 9,886.40 × 4,334.02
  4. Step 4: Simplify right side
    7,165.78x = 42,847,855.33
  5. Step 5: Solve for x
    x = 42,847,855.33/7,165.78
  6. Step 6: Final answer
    x = 5,979.51

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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.