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Finding the Fourth Proportional to 6,571.44, 9,860.40 and 4,636.08

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Solution

The fourth proportional to 6,571.44, 9,860.40 and 4,636.08 is: 6,956.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.44 : 9,860.40 = 4,636.08 : x
  2. Step 2: Convert to fraction form
    6,571.44/9,860.40 = 4,636.08/x
  3. Step 3: Cross multiply
    6,571.44x = 9,860.40 × 4,636.08
  4. Step 4: Simplify right side
    6,571.44x = 45,713,603.23
  5. Step 5: Solve for x
    x = 45,713,603.23/6,571.44
  6. Step 6: Final answer
    x = 6,956.41

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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.