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Finding the Fourth Proportional to 9,108.69, 13,663.05 and 2,534.87

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Solution

The fourth proportional to 9,108.69, 13,663.05 and 2,534.87 is: 3,802.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,108.69 : 13,663.05 = 2,534.87 : x
  2. Step 2: Convert to fraction form
    9,108.69/13,663.05 = 2,534.87/x
  3. Step 3: Cross multiply
    9,108.69x = 13,663.05 × 2,534.87
  4. Step 4: Simplify right side
    9,108.69x = 34,634,080.21
  5. Step 5: Solve for x
    x = 34,634,080.21/9,108.69
  6. Step 6: Final answer
    x = 3,802.31

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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.