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Finding the Fourth Proportional to 9,170.38, 12,655.02 and 4,978.63

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Solution

The fourth proportional to 9,170.38, 12,655.02 and 4,978.63 is: 6,870.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170.38 : 12,655.02 = 4,978.63 : x
  2. Step 2: Convert to fraction form
    9,170.38/12,655.02 = 4,978.63/x
  3. Step 3: Cross multiply
    9,170.38x = 12,655.02 × 4,978.63
  4. Step 4: Simplify right side
    9,170.38x = 63,004,649.25
  5. Step 5: Solve for x
    x = 63,004,649.25/9,170.38
  6. Step 6: Final answer
    x = 6,870.45

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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.