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Finding the Fourth Proportional to 9,899.92, 14,852.61 and 8,811.89

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Solution

The fourth proportional to 9,899.92, 14,852.61 and 8,811.89 is: 13,220.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.92 : 14,852.61 = 8,811.89 : x
  2. Step 2: Convert to fraction form
    9,899.92/14,852.61 = 8,811.89/x
  3. Step 3: Cross multiply
    9,899.92x = 14,852.61 × 8,811.89
  4. Step 4: Simplify right side
    9,899.92x = 130,879,565.53
  5. Step 5: Solve for x
    x = 130,879,565.53/9,899.92
  6. Step 6: Final answer
    x = 13,220.26

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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.