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Finding the Fourth Proportional to 9,203.10, 12,700.06 and 5,375.40

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Solution

The fourth proportional to 9,203.10, 12,700.06 and 5,375.40 is: 7,417.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.10 : 12,700.06 = 5,375.40 : x
  2. Step 2: Convert to fraction form
    9,203.10/12,700.06 = 5,375.40/x
  3. Step 3: Cross multiply
    9,203.10x = 12,700.06 × 5,375.40
  4. Step 4: Simplify right side
    9,203.10x = 68,267,902.52
  5. Step 5: Solve for x
    x = 68,267,902.52/9,203.10
  6. Step 6: Final answer
    x = 7,417.92

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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.