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Finding the Fourth Proportional to 9,393.87, 12,966.17 and 5,416.58

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Solution

The fourth proportional to 9,393.87, 12,966.17 and 5,416.58 is: 7,476.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,393.87 : 12,966.17 = 5,416.58 : x
  2. Step 2: Convert to fraction form
    9,393.87/12,966.17 = 5,416.58/x
  3. Step 3: Cross multiply
    9,393.87x = 12,966.17 × 5,416.58
  4. Step 4: Simplify right side
    9,393.87x = 70,232,205.18
  5. Step 5: Solve for x
    x = 70,232,205.18/9,393.87
  6. Step 6: Final answer
    x = 7,476.39

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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.