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Finding the Fourth Proportional to 8,969.22, 13,444.11 and 4,342.50

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Solution

The fourth proportional to 8,969.22, 13,444.11 and 4,342.50 is: 6,509.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,969.22 : 13,444.11 = 4,342.50 : x
  2. Step 2: Convert to fraction form
    8,969.22/13,444.11 = 4,342.50/x
  3. Step 3: Cross multiply
    8,969.22x = 13,444.11 × 4,342.50
  4. Step 4: Simplify right side
    8,969.22x = 58,381,047.68
  5. Step 5: Solve for x
    x = 58,381,047.68/8,969.22
  6. Step 6: Final answer
    x = 6,509.04

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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.