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Finding the Fourth Proportional to 9,016.58, 12,439.02 and 5,657.10

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Solution

The fourth proportional to 9,016.58, 12,439.02 and 5,657.10 is: 7,804.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,016.58 : 12,439.02 = 5,657.10 : x
  2. Step 2: Convert to fraction form
    9,016.58/12,439.02 = 5,657.10/x
  3. Step 3: Cross multiply
    9,016.58x = 12,439.02 × 5,657.10
  4. Step 4: Simplify right side
    9,016.58x = 70,368,780.04
  5. Step 5: Solve for x
    x = 70,368,780.04/9,016.58
  6. Step 6: Final answer
    x = 7,804.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.