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Finding the Fourth Proportional to 9,385.66, 12,952.29 and 5,194.18

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Solution

The fourth proportional to 9,385.66, 12,952.29 and 5,194.18 is: 7,168.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,385.66 : 12,952.29 = 5,194.18 : x
  2. Step 2: Convert to fraction form
    9,385.66/12,952.29 = 5,194.18/x
  3. Step 3: Cross multiply
    9,385.66x = 12,952.29 × 5,194.18
  4. Step 4: Simplify right side
    9,385.66x = 67,276,525.67
  5. Step 5: Solve for x
    x = 67,276,525.67/9,385.66
  6. Step 6: Final answer
    x = 7,168.01

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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.