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Finding the Fourth Proportional to 9,199.66, 12,695.53 and 5,007.91

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Solution

The fourth proportional to 9,199.66, 12,695.53 and 5,007.91 is: 6,910.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.66 : 12,695.53 = 5,007.91 : x
  2. Step 2: Convert to fraction form
    9,199.66/12,695.53 = 5,007.91/x
  3. Step 3: Cross multiply
    9,199.66x = 12,695.53 × 5,007.91
  4. Step 4: Simplify right side
    9,199.66x = 63,578,014.86
  5. Step 5: Solve for x
    x = 63,578,014.86/9,199.66
  6. Step 6: Final answer
    x = 6,910.91

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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.