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Finding the Fourth Proportional to 9,971.16, 13,758.28 and 6,243

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Solution

The fourth proportional to 9,971.16, 13,758.28 and 6,243 is: 8,614.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.16 : 13,758.28 = 6,243 : x
  2. Step 2: Convert to fraction form
    9,971.16/13,758.28 = 6,243/x
  3. Step 3: Cross multiply
    9,971.16x = 13,758.28 × 6,243
  4. Step 4: Simplify right side
    9,971.16x = 85,892,942.04
  5. Step 5: Solve for x
    x = 85,892,942.04/9,971.16
  6. Step 6: Final answer
    x = 8,614.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.