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Finding the Fourth Proportional to 9,891.12, 14,822.84 and 5,730.02

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Solution

The fourth proportional to 9,891.12, 14,822.84 and 5,730.02 is: 8,587.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.12 : 14,822.84 = 5,730.02 : x
  2. Step 2: Convert to fraction form
    9,891.12/14,822.84 = 5,730.02/x
  3. Step 3: Cross multiply
    9,891.12x = 14,822.84 × 5,730.02
  4. Step 4: Simplify right side
    9,891.12x = 84,935,169.66
  5. Step 5: Solve for x
    x = 84,935,169.66/9,891.12
  6. Step 6: Final answer
    x = 8,587.01

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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.