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Finding the Fourth Proportional to 7,234.29, 9,985.38 and 4,402.11

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Solution

The fourth proportional to 7,234.29, 9,985.38 and 4,402.11 is: 6,076.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.29 : 9,985.38 = 4,402.11 : x
  2. Step 2: Convert to fraction form
    7,234.29/9,985.38 = 4,402.11/x
  3. Step 3: Cross multiply
    7,234.29x = 9,985.38 × 4,402.11
  4. Step 4: Simplify right side
    7,234.29x = 43,956,741.15
  5. Step 5: Solve for x
    x = 43,956,741.15/7,234.29
  6. Step 6: Final answer
    x = 6,076.17

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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.