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Finding the Fourth Proportional to 9,191.90, 12,682.59 and 5,833.50

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Solution

The fourth proportional to 9,191.90, 12,682.59 and 5,833.50 is: 8,048.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.90 : 12,682.59 = 5,833.50 : x
  2. Step 2: Convert to fraction form
    9,191.90/12,682.59 = 5,833.50/x
  3. Step 3: Cross multiply
    9,191.90x = 12,682.59 × 5,833.50
  4. Step 4: Simplify right side
    9,191.90x = 73,983,888.77
  5. Step 5: Solve for x
    x = 73,983,888.77/9,191.90
  6. Step 6: Final answer
    x = 8,048.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.