Home / 9,964.20-13,746.12-7,977.60

Finding the Fourth Proportional to 9,964.20, 13,746.12 and 7,977.60

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Solution

The fourth proportional to 9,964.20, 13,746.12 and 7,977.60 is: 11,005.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.20 : 13,746.12 = 7,977.60 : x
  2. Step 2: Convert to fraction form
    9,964.20/13,746.12 = 7,977.60/x
  3. Step 3: Cross multiply
    9,964.20x = 13,746.12 × 7,977.60
  4. Step 4: Simplify right side
    9,964.20x = 109,661,046.91
  5. Step 5: Solve for x
    x = 109,661,046.91/9,964.20
  6. Step 6: Final answer
    x = 11,005.50

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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.