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Finding the Fourth Proportional to 9,012, 12,436.80 and 5,033

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Solution

The fourth proportional to 9,012, 12,436.80 and 5,033 is: 6,945.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,012 : 12,436.80 = 5,033 : x
  2. Step 2: Convert to fraction form
    9,012/12,436.80 = 5,033/x
  3. Step 3: Cross multiply
    9,012x = 12,436.80 × 5,033
  4. Step 4: Simplify right side
    9,012x = 62,594,414.40
  5. Step 5: Solve for x
    x = 62,594,414.40/9,012
  6. Step 6: Final answer
    x = 6,945.67

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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.