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Finding the Fourth Proportional to 9,969.20, 14,970.72 and 9,571.92

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Solution

The fourth proportional to 9,969.20, 14,970.72 and 9,571.92 is: 14,374.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.20 : 14,970.72 = 9,571.92 : x
  2. Step 2: Convert to fraction form
    9,969.20/14,970.72 = 9,571.92/x
  3. Step 3: Cross multiply
    9,969.20x = 14,970.72 × 9,571.92
  4. Step 4: Simplify right side
    9,969.20x = 143,298,534.18
  5. Step 5: Solve for x
    x = 143,298,534.18/9,969.20
  6. Step 6: Final answer
    x = 14,374.13

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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.