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Finding the Fourth Proportional to 9,838.18, 14,741.61 and 6,882.22

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Solution

The fourth proportional to 9,838.18, 14,741.61 and 6,882.22 is: 10,312.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.18 : 14,741.61 = 6,882.22 : x
  2. Step 2: Convert to fraction form
    9,838.18/14,741.61 = 6,882.22/x
  3. Step 3: Cross multiply
    9,838.18x = 14,741.61 × 6,882.22
  4. Step 4: Simplify right side
    9,838.18x = 101,455,003.17
  5. Step 5: Solve for x
    x = 101,455,003.17/9,838.18
  6. Step 6: Final answer
    x = 10,312.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.