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Finding the Fourth Proportional to 9,176.64, 12,642.96 and 6,897.84

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Solution

The fourth proportional to 9,176.64, 12,642.96 and 6,897.84 is: 9,503.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,176.64 : 12,642.96 = 6,897.84 : x
  2. Step 2: Convert to fraction form
    9,176.64/12,642.96 = 6,897.84/x
  3. Step 3: Cross multiply
    9,176.64x = 12,642.96 × 6,897.84
  4. Step 4: Simplify right side
    9,176.64x = 87,209,115.21
  5. Step 5: Solve for x
    x = 87,209,115.21/9,176.64
  6. Step 6: Final answer
    x = 9,503.38

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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.