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Finding the Fourth Proportional to 9,111.34, 13,663.18 and 3,186.96

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Solution

The fourth proportional to 9,111.34, 13,663.18 and 3,186.96 is: 4,779.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,111.34 : 13,663.18 = 3,186.96 : x
  2. Step 2: Convert to fraction form
    9,111.34/13,663.18 = 3,186.96/x
  3. Step 3: Cross multiply
    9,111.34x = 13,663.18 × 3,186.96
  4. Step 4: Simplify right side
    9,111.34x = 43,544,008.13
  5. Step 5: Solve for x
    x = 43,544,008.13/9,111.34
  6. Step 6: Final answer
    x = 4,779.10

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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.