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Finding the Fourth Proportional to 9,864.02, 13,612.38 and 5,672

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Solution

The fourth proportional to 9,864.02, 13,612.38 and 5,672 is: 7,827.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864.02 : 13,612.38 = 5,672 : x
  2. Step 2: Convert to fraction form
    9,864.02/13,612.38 = 5,672/x
  3. Step 3: Cross multiply
    9,864.02x = 13,612.38 × 5,672
  4. Step 4: Simplify right side
    9,864.02x = 77,209,419.36
  5. Step 5: Solve for x
    x = 77,209,419.36/9,864.02
  6. Step 6: Final answer
    x = 7,827.38

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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.