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Finding the Fourth Proportional to 6,332.98, 9,493.66 and 2,434.45

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Solution

The fourth proportional to 6,332.98, 9,493.66 and 2,434.45 is: 3,649.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,332.98 : 9,493.66 = 2,434.45 : x
  2. Step 2: Convert to fraction form
    6,332.98/9,493.66 = 2,434.45/x
  3. Step 3: Cross multiply
    6,332.98x = 9,493.66 × 2,434.45
  4. Step 4: Simplify right side
    6,332.98x = 23,111,840.59
  5. Step 5: Solve for x
    x = 23,111,840.59/6,332.98
  6. Step 6: Final answer
    x = 3,649.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.