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Finding the Fourth Proportional to 9,995.12, 14,987.35 and 5,836.40

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Solution

The fourth proportional to 9,995.12, 14,987.35 and 5,836.40 is: 8,751.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,995.12 : 14,987.35 = 5,836.40 : x
  2. Step 2: Convert to fraction form
    9,995.12/14,987.35 = 5,836.40/x
  3. Step 3: Cross multiply
    9,995.12x = 14,987.35 × 5,836.40
  4. Step 4: Simplify right side
    9,995.12x = 87,472,258.82
  5. Step 5: Solve for x
    x = 87,472,258.82/9,995.12
  6. Step 6: Final answer
    x = 8,751.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.