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Finding the Fourth Proportional to 6,189.16, 8,547.78 and 4,203.04

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Solution

The fourth proportional to 6,189.16, 8,547.78 and 4,203.04 is: 5,804.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.16 : 8,547.78 = 4,203.04 : x
  2. Step 2: Convert to fraction form
    6,189.16/8,547.78 = 4,203.04/x
  3. Step 3: Cross multiply
    6,189.16x = 8,547.78 × 4,203.04
  4. Step 4: Simplify right side
    6,189.16x = 35,926,661.25
  5. Step 5: Solve for x
    x = 35,926,661.25/6,189.16
  6. Step 6: Final answer
    x = 5,804.77

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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.