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Finding the Fourth Proportional to 6,400.40, 9,634.56 and 4,564.22

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Solution

The fourth proportional to 6,400.40, 9,634.56 and 4,564.22 is: 6,870.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.40 : 9,634.56 = 4,564.22 : x
  2. Step 2: Convert to fraction form
    6,400.40/9,634.56 = 4,564.22/x
  3. Step 3: Cross multiply
    6,400.40x = 9,634.56 × 4,564.22
  4. Step 4: Simplify right side
    6,400.40x = 43,974,186.15
  5. Step 5: Solve for x
    x = 43,974,186.15/6,400.40
  6. Step 6: Final answer
    x = 6,870.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.