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Finding the Fourth Proportional to 9,141.15, 13,703.43 and 3,293.64

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Solution

The fourth proportional to 9,141.15, 13,703.43 and 3,293.64 is: 4,937.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.15 : 13,703.43 = 3,293.64 : x
  2. Step 2: Convert to fraction form
    9,141.15/13,703.43 = 3,293.64/x
  3. Step 3: Cross multiply
    9,141.15x = 13,703.43 × 3,293.64
  4. Step 4: Simplify right side
    9,141.15x = 45,134,165.19
  5. Step 5: Solve for x
    x = 45,134,165.19/9,141.15
  6. Step 6: Final answer
    x = 4,937.47

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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.