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Finding the Fourth Proportional to 6,564.64, 9,054.69 and 3,910

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Solution

The fourth proportional to 6,564.64, 9,054.69 and 3,910 is: 5,393.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.64 : 9,054.69 = 3,910 : x
  2. Step 2: Convert to fraction form
    6,564.64/9,054.69 = 3,910/x
  3. Step 3: Cross multiply
    6,564.64x = 9,054.69 × 3,910
  4. Step 4: Simplify right side
    6,564.64x = 35,403,837.90
  5. Step 5: Solve for x
    x = 35,403,837.90/6,564.64
  6. Step 6: Final answer
    x = 5,393.11

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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.