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Finding the Fourth Proportional to 9,518.31, 13,125.65 and 7,336.78

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Solution

The fourth proportional to 9,518.31, 13,125.65 and 7,336.78 is: 10,117.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,518.31 : 13,125.65 = 7,336.78 : x
  2. Step 2: Convert to fraction form
    9,518.31/13,125.65 = 7,336.78/x
  3. Step 3: Cross multiply
    9,518.31x = 13,125.65 × 7,336.78
  4. Step 4: Simplify right side
    9,518.31x = 96,299,936.91
  5. Step 5: Solve for x
    x = 96,299,936.91/9,518.31
  6. Step 6: Final answer
    x = 10,117.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.