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Finding the Fourth Proportional to 9,007.07, 12,436.34 and 5,822.25

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Solution

The fourth proportional to 9,007.07, 12,436.34 and 5,822.25 is: 8,038.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,007.07 : 12,436.34 = 5,822.25 : x
  2. Step 2: Convert to fraction form
    9,007.07/12,436.34 = 5,822.25/x
  3. Step 3: Cross multiply
    9,007.07x = 12,436.34 × 5,822.25
  4. Step 4: Simplify right side
    9,007.07x = 72,407,451.45
  5. Step 5: Solve for x
    x = 72,407,451.45/9,007.07
  6. Step 6: Final answer
    x = 8,038.96

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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.