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Finding the Fourth Proportional to 9,665.65, 13,345.02 and 7,423.52

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Solution

The fourth proportional to 9,665.65, 13,345.02 and 7,423.52 is: 10,249.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.65 : 13,345.02 = 7,423.52 : x
  2. Step 2: Convert to fraction form
    9,665.65/13,345.02 = 7,423.52/x
  3. Step 3: Cross multiply
    9,665.65x = 13,345.02 × 7,423.52
  4. Step 4: Simplify right side
    9,665.65x = 99,067,008.07
  5. Step 5: Solve for x
    x = 99,067,008.07/9,665.65
  6. Step 6: Final answer
    x = 10,249.39

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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.