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Finding the Fourth Proportional to 6,391.35, 9,564.21 and 4,417.38

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Solution

The fourth proportional to 6,391.35, 9,564.21 and 4,417.38 is: 6,610.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,391.35 : 9,564.21 = 4,417.38 : x
  2. Step 2: Convert to fraction form
    6,391.35/9,564.21 = 4,417.38/x
  3. Step 3: Cross multiply
    6,391.35x = 9,564.21 × 4,417.38
  4. Step 4: Simplify right side
    6,391.35x = 42,248,749.97
  5. Step 5: Solve for x
    x = 42,248,749.97/6,391.35
  6. Step 6: Final answer
    x = 6,610.30

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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.