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Finding the Fourth Proportional to 6,365.47, 9,549.93 and 2,665.75

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Solution

The fourth proportional to 6,365.47, 9,549.93 and 2,665.75 is: 3,999.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.47 : 9,549.93 = 2,665.75 : x
  2. Step 2: Convert to fraction form
    6,365.47/9,549.93 = 2,665.75/x
  3. Step 3: Cross multiply
    6,365.47x = 9,549.93 × 2,665.75
  4. Step 4: Simplify right side
    6,365.47x = 25,457,725.90
  5. Step 5: Solve for x
    x = 25,457,725.90/6,365.47
  6. Step 6: Final answer
    x = 3,999.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.