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Finding the Fourth Proportional to 9,703.31, 13,388.33 and 7,018.46

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Solution

The fourth proportional to 9,703.31, 13,388.33 and 7,018.46 is: 9,683.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.31 : 13,388.33 = 7,018.46 : x
  2. Step 2: Convert to fraction form
    9,703.31/13,388.33 = 7,018.46/x
  3. Step 3: Cross multiply
    9,703.31x = 13,388.33 × 7,018.46
  4. Step 4: Simplify right side
    9,703.31x = 93,965,458.57
  5. Step 5: Solve for x
    x = 93,965,458.57/9,703.31
  6. Step 6: Final answer
    x = 9,683.86

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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.