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Finding the Fourth Proportional to 9,971.66, 14,955.66 and 3,731.01

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Solution

The fourth proportional to 9,971.66, 14,955.66 and 3,731.01 is: 5,595.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.66 : 14,955.66 = 3,731.01 : x
  2. Step 2: Convert to fraction form
    9,971.66/14,955.66 = 3,731.01/x
  3. Step 3: Cross multiply
    9,971.66x = 14,955.66 × 3,731.01
  4. Step 4: Simplify right side
    9,971.66x = 55,799,717.02
  5. Step 5: Solve for x
    x = 55,799,717.02/9,971.66
  6. Step 6: Final answer
    x = 5,595.83

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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.