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Finding the Fourth Proportional to 9,133.68, 13,697.28 and 3,288.72

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Solution

The fourth proportional to 9,133.68, 13,697.28 and 3,288.72 is: 4,931.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133.68 : 13,697.28 = 3,288.72 : x
  2. Step 2: Convert to fraction form
    9,133.68/13,697.28 = 3,288.72/x
  3. Step 3: Cross multiply
    9,133.68x = 13,697.28 × 3,288.72
  4. Step 4: Simplify right side
    9,133.68x = 45,046,518.68
  5. Step 5: Solve for x
    x = 45,046,518.68/9,133.68
  6. Step 6: Final answer
    x = 4,931.91

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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.