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Finding the Fourth Proportional to 9,135.86, 12,607.45 and 5,102.46

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Solution

The fourth proportional to 9,135.86, 12,607.45 and 5,102.46 is: 7,041.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,135.86 : 12,607.45 = 5,102.46 : x
  2. Step 2: Convert to fraction form
    9,135.86/12,607.45 = 5,102.46/x
  3. Step 3: Cross multiply
    9,135.86x = 12,607.45 × 5,102.46
  4. Step 4: Simplify right side
    9,135.86x = 64,328,996.57
  5. Step 5: Solve for x
    x = 64,328,996.57/9,135.86
  6. Step 6: Final answer
    x = 7,041.38

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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.