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Finding the Fourth Proportional to 9,539.84, 13,165.08 and 5,348

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Solution

The fourth proportional to 9,539.84, 13,165.08 and 5,348 is: 7,380.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539.84 : 13,165.08 = 5,348 : x
  2. Step 2: Convert to fraction form
    9,539.84/13,165.08 = 5,348/x
  3. Step 3: Cross multiply
    9,539.84x = 13,165.08 × 5,348
  4. Step 4: Simplify right side
    9,539.84x = 70,406,847.84
  5. Step 5: Solve for x
    x = 70,406,847.84/9,539.84
  6. Step 6: Final answer
    x = 7,380.30

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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.