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Finding the Fourth Proportional to 9,633.84, 13,294.32 and 5,442

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Solution

The fourth proportional to 9,633.84, 13,294.32 and 5,442 is: 7,509.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.84 : 13,294.32 = 5,442 : x
  2. Step 2: Convert to fraction form
    9,633.84/13,294.32 = 5,442/x
  3. Step 3: Cross multiply
    9,633.84x = 13,294.32 × 5,442
  4. Step 4: Simplify right side
    9,633.84x = 72,347,689.44
  5. Step 5: Solve for x
    x = 72,347,689.44/9,633.84
  6. Step 6: Final answer
    x = 7,509.75

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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.