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Finding the Fourth Proportional to 13,284.90, 19,909.26 and 6,263.82

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Solution

The fourth proportional to 13,284.90, 19,909.26 and 6,263.82 is: 9,387.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,284.90 : 19,909.26 = 6,263.82 : x
  2. Step 2: Convert to fraction form
    13,284.90/19,909.26 = 6,263.82/x
  3. Step 3: Cross multiply
    13,284.90x = 19,909.26 × 6,263.82
  4. Step 4: Simplify right side
    13,284.90x = 124,708,020.97
  5. Step 5: Solve for x
    x = 124,708,020.97/13,284.90
  6. Step 6: Final answer
    x = 9,387.20

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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.