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Finding the Fourth Proportional to 9,114.51, 13,671.77 and 5,216.21

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Solution

The fourth proportional to 9,114.51, 13,671.77 and 5,216.21 is: 7,824.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.51 : 13,671.77 = 5,216.21 : x
  2. Step 2: Convert to fraction form
    9,114.51/13,671.77 = 5,216.21/x
  3. Step 3: Cross multiply
    9,114.51x = 13,671.77 × 5,216.21
  4. Step 4: Simplify right side
    9,114.51x = 71,314,728.95
  5. Step 5: Solve for x
    x = 71,314,728.95/9,114.51
  6. Step 6: Final answer
    x = 7,824.31

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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.