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Finding the Fourth Proportional to 9,522, 13,140.36 and 5,330.34

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Solution

The fourth proportional to 9,522, 13,140.36 and 5,330.34 is: 7,355.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522 : 13,140.36 = 5,330.34 : x
  2. Step 2: Convert to fraction form
    9,522/13,140.36 = 5,330.34/x
  3. Step 3: Cross multiply
    9,522x = 13,140.36 × 5,330.34
  4. Step 4: Simplify right side
    9,522x = 70,042,586.52
  5. Step 5: Solve for x
    x = 70,042,586.52/9,522
  6. Step 6: Final answer
    x = 7,355.87

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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.