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Finding the Fourth Proportional to 9,683.46, 14,525.19 and 6,767.46

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Solution

The fourth proportional to 9,683.46, 14,525.19 and 6,767.46 is: 10,151.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.46 : 14,525.19 = 6,767.46 : x
  2. Step 2: Convert to fraction form
    9,683.46/14,525.19 = 6,767.46/x
  3. Step 3: Cross multiply
    9,683.46x = 14,525.19 × 6,767.46
  4. Step 4: Simplify right side
    9,683.46x = 98,298,642.32
  5. Step 5: Solve for x
    x = 98,298,642.32/9,683.46
  6. Step 6: Final answer
    x = 10,151.19

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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.