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Finding the Fourth Proportional to 9,908.06, 13,673.06 and 5,432

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Solution

The fourth proportional to 9,908.06, 13,673.06 and 5,432 is: 7,496.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,908.06 : 13,673.06 = 5,432 : x
  2. Step 2: Convert to fraction form
    9,908.06/13,673.06 = 5,432/x
  3. Step 3: Cross multiply
    9,908.06x = 13,673.06 × 5,432
  4. Step 4: Simplify right side
    9,908.06x = 74,272,061.92
  5. Step 5: Solve for x
    x = 74,272,061.92/9,908.06
  6. Step 6: Final answer
    x = 7,496.13

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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.