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Finding the Fourth Proportional to 9,987.16, 14,983.04 and 2,967.02

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Solution

The fourth proportional to 9,987.16, 14,983.04 and 2,967.02 is: 4,451.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987.16 : 14,983.04 = 2,967.02 : x
  2. Step 2: Convert to fraction form
    9,987.16/14,983.04 = 2,967.02/x
  3. Step 3: Cross multiply
    9,987.16x = 14,983.04 × 2,967.02
  4. Step 4: Simplify right side
    9,987.16x = 44,454,979.34
  5. Step 5: Solve for x
    x = 44,454,979.34/9,987.16
  6. Step 6: Final answer
    x = 4,451.21

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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.