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Finding the Fourth Proportional to 9,102.15, 12,557.94 and 7,420.66

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Solution

The fourth proportional to 9,102.15, 12,557.94 and 7,420.66 is: 10,238.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.15 : 12,557.94 = 7,420.66 : x
  2. Step 2: Convert to fraction form
    9,102.15/12,557.94 = 7,420.66/x
  3. Step 3: Cross multiply
    9,102.15x = 12,557.94 × 7,420.66
  4. Step 4: Simplify right side
    9,102.15x = 93,188,165.94
  5. Step 5: Solve for x
    x = 93,188,165.94/9,102.15
  6. Step 6: Final answer
    x = 10,238.04

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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.