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Finding the Fourth Proportional to 9,524.98, 13,144.66 and 5,700.56

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Solution

The fourth proportional to 9,524.98, 13,144.66 and 5,700.56 is: 7,866.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524.98 : 13,144.66 = 5,700.56 : x
  2. Step 2: Convert to fraction form
    9,524.98/13,144.66 = 5,700.56/x
  3. Step 3: Cross multiply
    9,524.98x = 13,144.66 × 5,700.56
  4. Step 4: Simplify right side
    9,524.98x = 74,931,880.84
  5. Step 5: Solve for x
    x = 74,931,880.84/9,524.98
  6. Step 6: Final answer
    x = 7,866.88

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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.