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Finding the Fourth Proportional to 9,683.34, 14,525.06 and 2,663.46

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Solution

The fourth proportional to 9,683.34, 14,525.06 and 2,663.46 is: 3,995.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.34 : 14,525.06 = 2,663.46 : x
  2. Step 2: Convert to fraction form
    9,683.34/14,525.06 = 2,663.46/x
  3. Step 3: Cross multiply
    9,683.34x = 14,525.06 × 2,663.46
  4. Step 4: Simplify right side
    9,683.34x = 38,686,916.31
  5. Step 5: Solve for x
    x = 38,686,916.31/9,683.34
  6. Step 6: Final answer
    x = 3,995.20

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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.