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Finding the Fourth Proportional to 9,386.98, 12,958.68 and 5,851.30

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Solution

The fourth proportional to 9,386.98, 12,958.68 and 5,851.30 is: 8,077.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.98 : 12,958.68 = 5,851.30 : x
  2. Step 2: Convert to fraction form
    9,386.98/12,958.68 = 5,851.30/x
  3. Step 3: Cross multiply
    9,386.98x = 12,958.68 × 5,851.30
  4. Step 4: Simplify right side
    9,386.98x = 75,825,124.28
  5. Step 5: Solve for x
    x = 75,825,124.28/9,386.98
  6. Step 6: Final answer
    x = 8,077.69

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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.