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Finding the Fourth Proportional to 9,773.93, 14,663.64 and 3,934.64

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Solution

The fourth proportional to 9,773.93, 14,663.64 and 3,934.64 is: 5,903.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.93 : 14,663.64 = 3,934.64 : x
  2. Step 2: Convert to fraction form
    9,773.93/14,663.64 = 3,934.64/x
  3. Step 3: Cross multiply
    9,773.93x = 14,663.64 × 3,934.64
  4. Step 4: Simplify right side
    9,773.93x = 57,696,144.49
  5. Step 5: Solve for x
    x = 57,696,144.49/9,773.93
  6. Step 6: Final answer
    x = 5,903.07

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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.