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Finding the Fourth Proportional to 9,691.54, 14,530.47 and 4,758.03

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Solution

The fourth proportional to 9,691.54, 14,530.47 and 4,758.03 is: 7,133.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.54 : 14,530.47 = 4,758.03 : x
  2. Step 2: Convert to fraction form
    9,691.54/14,530.47 = 4,758.03/x
  3. Step 3: Cross multiply
    9,691.54x = 14,530.47 × 4,758.03
  4. Step 4: Simplify right side
    9,691.54x = 69,136,412.17
  5. Step 5: Solve for x
    x = 69,136,412.17/9,691.54
  6. Step 6: Final answer
    x = 7,133.69

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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.