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Finding the Fourth Proportional to 9,693.89, 13,378.05 and 5,444.73

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Solution

The fourth proportional to 9,693.89, 13,378.05 and 5,444.73 is: 7,514.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.89 : 13,378.05 = 5,444.73 : x
  2. Step 2: Convert to fraction form
    9,693.89/13,378.05 = 5,444.73/x
  3. Step 3: Cross multiply
    9,693.89x = 13,378.05 × 5,444.73
  4. Step 4: Simplify right side
    9,693.89x = 72,839,870.18
  5. Step 5: Solve for x
    x = 72,839,870.18/9,693.89
  6. Step 6: Final answer
    x = 7,514.00

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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.