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Finding the Fourth Proportional to 9,681.83, 14,508.89 and 5,513.23

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Solution

The fourth proportional to 9,681.83, 14,508.89 and 5,513.23 is: 8,261.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.83 : 14,508.89 = 5,513.23 : x
  2. Step 2: Convert to fraction form
    9,681.83/14,508.89 = 5,513.23/x
  3. Step 3: Cross multiply
    9,681.83x = 14,508.89 × 5,513.23
  4. Step 4: Simplify right side
    9,681.83x = 79,990,825.13
  5. Step 5: Solve for x
    x = 79,990,825.13/9,681.83
  6. Step 6: Final answer
    x = 8,261.96

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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.