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Finding the Fourth Proportional to 9,663.86, 14,494.98 and 3,088.28

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Solution

The fourth proportional to 9,663.86, 14,494.98 and 3,088.28 is: 4,632.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.86 : 14,494.98 = 3,088.28 : x
  2. Step 2: Convert to fraction form
    9,663.86/14,494.98 = 3,088.28/x
  3. Step 3: Cross multiply
    9,663.86x = 14,494.98 × 3,088.28
  4. Step 4: Simplify right side
    9,663.86x = 44,764,600.79
  5. Step 5: Solve for x
    x = 44,764,600.79/9,663.86
  6. Step 6: Final answer
    x = 4,632.16

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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.