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Finding the Fourth Proportional to 9,888.50, 13,646.15 and 5,412.29

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Solution

The fourth proportional to 9,888.50, 13,646.15 and 5,412.29 is: 7,468.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,888.50 : 13,646.15 = 5,412.29 : x
  2. Step 2: Convert to fraction form
    9,888.50/13,646.15 = 5,412.29/x
  3. Step 3: Cross multiply
    9,888.50x = 13,646.15 × 5,412.29
  4. Step 4: Simplify right side
    9,888.50x = 73,856,876.63
  5. Step 5: Solve for x
    x = 73,856,876.63/9,888.50
  6. Step 6: Final answer
    x = 7,468.97

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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.