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Finding the Fourth Proportional to 9,395.68, 12,966.05 and 5,203.93

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Solution

The fourth proportional to 9,395.68, 12,966.05 and 5,203.93 is: 7,181.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,395.68 : 12,966.05 = 5,203.93 : x
  2. Step 2: Convert to fraction form
    9,395.68/12,966.05 = 5,203.93/x
  3. Step 3: Cross multiply
    9,395.68x = 12,966.05 × 5,203.93
  4. Step 4: Simplify right side
    9,395.68x = 67,474,358.14
  5. Step 5: Solve for x
    x = 67,474,358.14/9,395.68
  6. Step 6: Final answer
    x = 7,181.43

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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.