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Finding the Fourth Proportional to 9,353.40, 12,907.92 and 5,320

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Solution

The fourth proportional to 9,353.40, 12,907.92 and 5,320 is: 7,341.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,353.40 : 12,907.92 = 5,320 : x
  2. Step 2: Convert to fraction form
    9,353.40/12,907.92 = 5,320/x
  3. Step 3: Cross multiply
    9,353.40x = 12,907.92 × 5,320
  4. Step 4: Simplify right side
    9,353.40x = 68,670,134.40
  5. Step 5: Solve for x
    x = 68,670,134.40/9,353.40
  6. Step 6: Final answer
    x = 7,341.73

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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.