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Finding the Fourth Proportional to 10,493.35, 15,663.25 and 9,247.82

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Solution

The fourth proportional to 10,493.35, 15,663.25 and 9,247.82 is: 13,804.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.35 : 15,663.25 = 9,247.82 : x
  2. Step 2: Convert to fraction form
    10,493.35/15,663.25 = 9,247.82/x
  3. Step 3: Cross multiply
    10,493.35x = 15,663.25 × 9,247.82
  4. Step 4: Simplify right side
    10,493.35x = 144,850,911.95
  5. Step 5: Solve for x
    x = 144,850,911.95/10,493.35
  6. Step 6: Final answer
    x = 13,804.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.