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Finding the Fourth Proportional to 8,999.30, 12,415.73 and 5,642.25

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Solution

The fourth proportional to 8,999.30, 12,415.73 and 5,642.25 is: 7,784.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,999.30 : 12,415.73 = 5,642.25 : x
  2. Step 2: Convert to fraction form
    8,999.30/12,415.73 = 5,642.25/x
  3. Step 3: Cross multiply
    8,999.30x = 12,415.73 × 5,642.25
  4. Step 4: Simplify right side
    8,999.30x = 70,052,624.38
  5. Step 5: Solve for x
    x = 70,052,624.38/8,999.30
  6. Step 6: Final answer
    x = 7,784.23

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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.