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Finding the Fourth Proportional to 9,571.17, 14,365.47 and 4,894.41

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Solution

The fourth proportional to 9,571.17, 14,365.47 and 4,894.41 is: 7,346.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.17 : 14,365.47 = 4,894.41 : x
  2. Step 2: Convert to fraction form
    9,571.17/14,365.47 = 4,894.41/x
  3. Step 3: Cross multiply
    9,571.17x = 14,365.47 × 4,894.41
  4. Step 4: Simplify right side
    9,571.17x = 70,310,500.02
  5. Step 5: Solve for x
    x = 70,310,500.02/9,571.17
  6. Step 6: Final answer
    x = 7,346.07

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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.