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Finding the Fourth Proportional to 9,275.40, 13,931.39 and 7,969.81

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Solution

The fourth proportional to 9,275.40, 13,931.39 and 7,969.81 is: 11,970.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,275.40 : 13,931.39 = 7,969.81 : x
  2. Step 2: Convert to fraction form
    9,275.40/13,931.39 = 7,969.81/x
  3. Step 3: Cross multiply
    9,275.40x = 13,931.39 × 7,969.81
  4. Step 4: Simplify right side
    9,275.40x = 111,030,491.49
  5. Step 5: Solve for x
    x = 111,030,491.49/9,275.40
  6. Step 6: Final answer
    x = 11,970.43

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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.