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Finding the Fourth Proportional to 9,419.26, 12,987.95 and 6,011.69

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Solution

The fourth proportional to 9,419.26, 12,987.95 and 6,011.69 is: 8,289.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.26 : 12,987.95 = 6,011.69 : x
  2. Step 2: Convert to fraction form
    9,419.26/12,987.95 = 6,011.69/x
  3. Step 3: Cross multiply
    9,419.26x = 12,987.95 × 6,011.69
  4. Step 4: Simplify right side
    9,419.26x = 78,079,543.72
  5. Step 5: Solve for x
    x = 78,079,543.72/9,419.26
  6. Step 6: Final answer
    x = 8,289.35

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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.