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Finding the Fourth Proportional to 9,809.67, 14,715.14 and 3,235.92

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Solution

The fourth proportional to 9,809.67, 14,715.14 and 3,235.92 is: 4,854.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.67 : 14,715.14 = 3,235.92 : x
  2. Step 2: Convert to fraction form
    9,809.67/14,715.14 = 3,235.92/x
  3. Step 3: Cross multiply
    9,809.67x = 14,715.14 × 3,235.92
  4. Step 4: Simplify right side
    9,809.67x = 47,616,944.47
  5. Step 5: Solve for x
    x = 47,616,944.47/9,809.67
  6. Step 6: Final answer
    x = 4,854.08

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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.