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Finding the Fourth Proportional to 9,634.48, 14,444.71 and 6,506.73

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Solution

The fourth proportional to 9,634.48, 14,444.71 and 6,506.73 is: 9,755.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634.48 : 14,444.71 = 6,506.73 : x
  2. Step 2: Convert to fraction form
    9,634.48/14,444.71 = 6,506.73/x
  3. Step 3: Cross multiply
    9,634.48x = 14,444.71 × 6,506.73
  4. Step 4: Simplify right side
    9,634.48x = 93,987,811.63
  5. Step 5: Solve for x
    x = 93,987,811.63/9,634.48
  6. Step 6: Final answer
    x = 9,755.36

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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.