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Finding the Fourth Proportional to 7,166.04, 9,886.75 and 4,334.28

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Solution

The fourth proportional to 7,166.04, 9,886.75 and 4,334.28 is: 5,979.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.04 : 9,886.75 = 4,334.28 : x
  2. Step 2: Convert to fraction form
    7,166.04/9,886.75 = 4,334.28/x
  3. Step 3: Cross multiply
    7,166.04x = 9,886.75 × 4,334.28
  4. Step 4: Simplify right side
    7,166.04x = 42,851,942.79
  5. Step 5: Solve for x
    x = 42,851,942.79/7,166.04
  6. Step 6: Final answer
    x = 5,979.86

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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.