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Finding the Fourth Proportional to 9,409.40, 12,986.12 and 5,430.52

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Solution

The fourth proportional to 9,409.40, 12,986.12 and 5,430.52 is: 7,494.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.40 : 12,986.12 = 5,430.52 : x
  2. Step 2: Convert to fraction form
    9,409.40/12,986.12 = 5,430.52/x
  3. Step 3: Cross multiply
    9,409.40x = 12,986.12 × 5,430.52
  4. Step 4: Simplify right side
    9,409.40x = 70,521,384.38
  5. Step 5: Solve for x
    x = 70,521,384.38/9,409.40
  6. Step 6: Final answer
    x = 7,494.78

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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.