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Finding the Fourth Proportional to 9,134.10, 13,701.63 and 2,894.77

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Solution

The fourth proportional to 9,134.10, 13,701.63 and 2,894.77 is: 4,342.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.10 : 13,701.63 = 2,894.77 : x
  2. Step 2: Convert to fraction form
    9,134.10/13,701.63 = 2,894.77/x
  3. Step 3: Cross multiply
    9,134.10x = 13,701.63 × 2,894.77
  4. Step 4: Simplify right side
    9,134.10x = 39,663,067.48
  5. Step 5: Solve for x
    x = 39,663,067.48/9,134.10
  6. Step 6: Final answer
    x = 4,342.31

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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.