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Finding the Fourth Proportional to 9,130.32, 12,600 and 5,356.20

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Solution

The fourth proportional to 9,130.32, 12,600 and 5,356.20 is: 7,391.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.32 : 12,600 = 5,356.20 : x
  2. Step 2: Convert to fraction form
    9,130.32/12,600 = 5,356.20/x
  3. Step 3: Cross multiply
    9,130.32x = 12,600 × 5,356.20
  4. Step 4: Simplify right side
    9,130.32x = 67,488,120
  5. Step 5: Solve for x
    x = 67,488,120/9,130.32
  6. Step 6: Final answer
    x = 7,391.65

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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.