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Finding the Fourth Proportional to 9,648.95, 13,318.17 and 5,671.34

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Solution

The fourth proportional to 9,648.95, 13,318.17 and 5,671.34 is: 7,827.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.95 : 13,318.17 = 5,671.34 : x
  2. Step 2: Convert to fraction form
    9,648.95/13,318.17 = 5,671.34/x
  3. Step 3: Cross multiply
    9,648.95x = 13,318.17 × 5,671.34
  4. Step 4: Simplify right side
    9,648.95x = 75,531,870.25
  5. Step 5: Solve for x
    x = 75,531,870.25/9,648.95
  6. Step 6: Final answer
    x = 7,827.99

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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.