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Finding the Fourth Proportional to 9,809.19, 14,693.47 and 4,796.48

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Solution

The fourth proportional to 9,809.19, 14,693.47 and 4,796.48 is: 7,184.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.19 : 14,693.47 = 4,796.48 : x
  2. Step 2: Convert to fraction form
    9,809.19/14,693.47 = 4,796.48/x
  3. Step 3: Cross multiply
    9,809.19x = 14,693.47 × 4,796.48
  4. Step 4: Simplify right side
    9,809.19x = 70,476,959.73
  5. Step 5: Solve for x
    x = 70,476,959.73/9,809.19
  6. Step 6: Final answer
    x = 7,184.79

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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.