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Finding the Fourth Proportional to 9,687.95, 14,538.30 and 5,308.48

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Solution

The fourth proportional to 9,687.95, 14,538.30 and 5,308.48 is: 7,966.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.95 : 14,538.30 = 5,308.48 : x
  2. Step 2: Convert to fraction form
    9,687.95/14,538.30 = 5,308.48/x
  3. Step 3: Cross multiply
    9,687.95x = 14,538.30 × 5,308.48
  4. Step 4: Simplify right side
    9,687.95x = 77,176,238.44
  5. Step 5: Solve for x
    x = 77,176,238.44/9,687.95
  6. Step 6: Final answer
    x = 7,966.21

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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.