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Finding the Fourth Proportional to 9,389.70, 12,959.19 and 5,854.05

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Solution

The fourth proportional to 9,389.70, 12,959.19 and 5,854.05 is: 8,079.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.70 : 12,959.19 = 5,854.05 : x
  2. Step 2: Convert to fraction form
    9,389.70/12,959.19 = 5,854.05/x
  3. Step 3: Cross multiply
    9,389.70x = 12,959.19 × 5,854.05
  4. Step 4: Simplify right side
    9,389.70x = 75,863,746.22
  5. Step 5: Solve for x
    x = 75,863,746.22/9,389.70
  6. Step 6: Final answer
    x = 8,079.46

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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.