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Finding the Fourth Proportional to 9,243.53, 12,756.11 and 5,051.78

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Solution

The fourth proportional to 9,243.53, 12,756.11 and 5,051.78 is: 6,971.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.53 : 12,756.11 = 5,051.78 : x
  2. Step 2: Convert to fraction form
    9,243.53/12,756.11 = 5,051.78/x
  3. Step 3: Cross multiply
    9,243.53x = 12,756.11 × 5,051.78
  4. Step 4: Simplify right side
    9,243.53x = 64,441,061.38
  5. Step 5: Solve for x
    x = 64,441,061.38/9,243.53
  6. Step 6: Final answer
    x = 6,971.48

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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.