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Finding the Fourth Proportional to 9,649.32, 13,317.60 and 5,671.42

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Solution

The fourth proportional to 9,649.32, 13,317.60 and 5,671.42 is: 7,827.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.32 : 13,317.60 = 5,671.42 : x
  2. Step 2: Convert to fraction form
    9,649.32/13,317.60 = 5,671.42/x
  3. Step 3: Cross multiply
    9,649.32x = 13,317.60 × 5,671.42
  4. Step 4: Simplify right side
    9,649.32x = 75,529,702.99
  5. Step 5: Solve for x
    x = 75,529,702.99/9,649.32
  6. Step 6: Final answer
    x = 7,827.46

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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.