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Finding the Fourth Proportional to 9,307.68, 13,961.16 and 3,151.68

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Solution

The fourth proportional to 9,307.68, 13,961.16 and 3,151.68 is: 4,727.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.68 : 13,961.16 = 3,151.68 : x
  2. Step 2: Convert to fraction form
    9,307.68/13,961.16 = 3,151.68/x
  3. Step 3: Cross multiply
    9,307.68x = 13,961.16 × 3,151.68
  4. Step 4: Simplify right side
    9,307.68x = 44,001,108.75
  5. Step 5: Solve for x
    x = 44,001,108.75/9,307.68
  6. Step 6: Final answer
    x = 4,727.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.