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Finding the Fourth Proportional to 9,315, 12,854.70 and 5,589

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Solution

The fourth proportional to 9,315, 12,854.70 and 5,589 is: 7,712.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315 : 12,854.70 = 5,589 : x
  2. Step 2: Convert to fraction form
    9,315/12,854.70 = 5,589/x
  3. Step 3: Cross multiply
    9,315x = 12,854.70 × 5,589
  4. Step 4: Simplify right side
    9,315x = 71,844,918.30
  5. Step 5: Solve for x
    x = 71,844,918.30/9,315
  6. Step 6: Final answer
    x = 7,712.82

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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.