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Finding the Fourth Proportional to 6,547.94, 9,771.60 and 5,847.29

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Solution

The fourth proportional to 6,547.94, 9,771.60 and 5,847.29 is: 8,726.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.94 : 9,771.60 = 5,847.29 : x
  2. Step 2: Convert to fraction form
    6,547.94/9,771.60 = 5,847.29/x
  3. Step 3: Cross multiply
    6,547.94x = 9,771.60 × 5,847.29
  4. Step 4: Simplify right side
    6,547.94x = 57,137,388.68
  5. Step 5: Solve for x
    x = 57,137,388.68/6,547.94
  6. Step 6: Final answer
    x = 8,726.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.