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Finding the Fourth Proportional to 9,848.97, 13,594.17 and 5,602.53

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Solution

The fourth proportional to 9,848.97, 13,594.17 and 5,602.53 is: 7,732.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,848.97 : 13,594.17 = 5,602.53 : x
  2. Step 2: Convert to fraction form
    9,848.97/13,594.17 = 5,602.53/x
  3. Step 3: Cross multiply
    9,848.97x = 13,594.17 × 5,602.53
  4. Step 4: Simplify right side
    9,848.97x = 76,161,745.25
  5. Step 5: Solve for x
    x = 76,161,745.25/9,848.97
  6. Step 6: Final answer
    x = 7,732.97

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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.