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Finding the Fourth Proportional to 6,189.07, 8,547.96 and 4,196.17

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Solution

The fourth proportional to 6,189.07, 8,547.96 and 4,196.17 is: 5,795.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.07 : 8,547.96 = 4,196.17 : x
  2. Step 2: Convert to fraction form
    6,189.07/8,547.96 = 4,196.17/x
  3. Step 3: Cross multiply
    6,189.07x = 8,547.96 × 4,196.17
  4. Step 4: Simplify right side
    6,189.07x = 35,868,648.05
  5. Step 5: Solve for x
    x = 35,868,648.05/6,189.07
  6. Step 6: Final answer
    x = 5,795.48

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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.