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Finding the Fourth Proportional to 9,130.30, 12,599.84 and 4,938.55

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Solution

The fourth proportional to 9,130.30, 12,599.84 and 4,938.55 is: 6,815.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.30 : 12,599.84 = 4,938.55 : x
  2. Step 2: Convert to fraction form
    9,130.30/12,599.84 = 4,938.55/x
  3. Step 3: Cross multiply
    9,130.30x = 12,599.84 × 4,938.55
  4. Step 4: Simplify right side
    9,130.30x = 62,224,920.68
  5. Step 5: Solve for x
    x = 62,224,920.68/9,130.30
  6. Step 6: Final answer
    x = 6,815.21

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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.