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Finding the Fourth Proportional to 9,618.40, 13,274.06 and 5,370.30

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Solution

The fourth proportional to 9,618.40, 13,274.06 and 5,370.30 is: 7,411.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,618.40 : 13,274.06 = 5,370.30 : x
  2. Step 2: Convert to fraction form
    9,618.40/13,274.06 = 5,370.30/x
  3. Step 3: Cross multiply
    9,618.40x = 13,274.06 × 5,370.30
  4. Step 4: Simplify right side
    9,618.40x = 71,285,684.42
  5. Step 5: Solve for x
    x = 71,285,684.42/9,618.40
  6. Step 6: Final answer
    x = 7,411.39

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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.