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Finding the Fourth Proportional to 9,441.84, 14,157.24 and 5,538

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Solution

The fourth proportional to 9,441.84, 14,157.24 and 5,538 is: 8,303.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,441.84 : 14,157.24 = 5,538 : x
  2. Step 2: Convert to fraction form
    9,441.84/14,157.24 = 5,538/x
  3. Step 3: Cross multiply
    9,441.84x = 14,157.24 × 5,538
  4. Step 4: Simplify right side
    9,441.84x = 78,402,795.12
  5. Step 5: Solve for x
    x = 78,402,795.12/9,441.84
  6. Step 6: Final answer
    x = 8,303.76

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Why These Related Problems?

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