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Finding the Fourth Proportional to 9,130.62, 12,600.46 and 5,151.50

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Solution

The fourth proportional to 9,130.62, 12,600.46 and 5,151.50 is: 7,109.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.62 : 12,600.46 = 5,151.50 : x
  2. Step 2: Convert to fraction form
    9,130.62/12,600.46 = 5,151.50/x
  3. Step 3: Cross multiply
    9,130.62x = 12,600.46 × 5,151.50
  4. Step 4: Simplify right side
    9,130.62x = 64,911,260.38
  5. Step 5: Solve for x
    x = 64,911,260.38/9,130.62
  6. Step 6: Final answer
    x = 7,109.18

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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.