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Finding the Fourth Proportional to 9,130.20, 12,599.68 and 4,938.44

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Solution

The fourth proportional to 9,130.20, 12,599.68 and 4,938.44 is: 6,815.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.20 : 12,599.68 = 4,938.44 : x
  2. Step 2: Convert to fraction form
    9,130.20/12,599.68 = 4,938.44/x
  3. Step 3: Cross multiply
    9,130.20x = 12,599.68 × 4,938.44
  4. Step 4: Simplify right side
    9,130.20x = 62,222,763.70
  5. Step 5: Solve for x
    x = 62,222,763.70/9,130.20
  6. Step 6: Final answer
    x = 6,815.05

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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.