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Finding the Fourth Proportional to 9,134.07, 13,703.15 and 2,894.05

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Solution

The fourth proportional to 9,134.07, 13,703.15 and 2,894.05 is: 4,341.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.07 : 13,703.15 = 2,894.05 : x
  2. Step 2: Convert to fraction form
    9,134.07/13,703.15 = 2,894.05/x
  3. Step 3: Cross multiply
    9,134.07x = 13,703.15 × 2,894.05
  4. Step 4: Simplify right side
    9,134.07x = 39,657,601.26
  5. Step 5: Solve for x
    x = 39,657,601.26/9,134.07
  6. Step 6: Final answer
    x = 4,341.72

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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.