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Finding the Fourth Proportional to 9,598.14, 13,246.25 and 5,407.20

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Solution

The fourth proportional to 9,598.14, 13,246.25 and 5,407.20 is: 7,462.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,598.14 : 13,246.25 = 5,407.20 : x
  2. Step 2: Convert to fraction form
    9,598.14/13,246.25 = 5,407.20/x
  3. Step 3: Cross multiply
    9,598.14x = 13,246.25 × 5,407.20
  4. Step 4: Simplify right side
    9,598.14x = 71,625,095.96
  5. Step 5: Solve for x
    x = 71,625,095.96/9,598.14
  6. Step 6: Final answer
    x = 7,462.39

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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.