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Finding the Fourth Proportional to 9,447.44, 13,030.27 and 5,909.36

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Solution

The fourth proportional to 9,447.44, 13,030.27 and 5,909.36 is: 8,150.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447.44 : 13,030.27 = 5,909.36 : x
  2. Step 2: Convert to fraction form
    9,447.44/13,030.27 = 5,909.36/x
  3. Step 3: Cross multiply
    9,447.44x = 13,030.27 × 5,909.36
  4. Step 4: Simplify right side
    9,447.44x = 77,000,476.40
  5. Step 5: Solve for x
    x = 77,000,476.40/9,447.44
  6. Step 6: Final answer
    x = 8,150.41

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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.