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Finding the Fourth Proportional to 8,973.77, 12,394.16 and 5,984.40

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Solution

The fourth proportional to 8,973.77, 12,394.16 and 5,984.40 is: 8,265.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,973.77 : 12,394.16 = 5,984.40 : x
  2. Step 2: Convert to fraction form
    8,973.77/12,394.16 = 5,984.40/x
  3. Step 3: Cross multiply
    8,973.77x = 12,394.16 × 5,984.40
  4. Step 4: Simplify right side
    8,973.77x = 74,171,626.07
  5. Step 5: Solve for x
    x = 74,171,626.07/8,973.77
  6. Step 6: Final answer
    x = 8,265.39

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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.