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Finding the Fourth Proportional to 9,164.15, 12,643.63 and 5,386.11

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Solution

The fourth proportional to 9,164.15, 12,643.63 and 5,386.11 is: 7,431.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.15 : 12,643.63 = 5,386.11 : x
  2. Step 2: Convert to fraction form
    9,164.15/12,643.63 = 5,386.11/x
  3. Step 3: Cross multiply
    9,164.15x = 12,643.63 × 5,386.11
  4. Step 4: Simplify right side
    9,164.15x = 68,099,921.10
  5. Step 5: Solve for x
    x = 68,099,921.10/9,164.15
  6. Step 6: Final answer
    x = 7,431.12

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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.