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Finding the Fourth Proportional to 9,083.70, 12,535.63 and 5,104.58

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Solution

The fourth proportional to 9,083.70, 12,535.63 and 5,104.58 is: 7,044.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,083.70 : 12,535.63 = 5,104.58 : x
  2. Step 2: Convert to fraction form
    9,083.70/12,535.63 = 5,104.58/x
  3. Step 3: Cross multiply
    9,083.70x = 12,535.63 × 5,104.58
  4. Step 4: Simplify right side
    9,083.70x = 63,989,050.75
  5. Step 5: Solve for x
    x = 63,989,050.75/9,083.70
  6. Step 6: Final answer
    x = 7,044.38

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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.