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Finding the Fourth Proportional to 9,133.18, 13,696.53 and 3,288.22

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Solution

The fourth proportional to 9,133.18, 13,696.53 and 3,288.22 is: 4,931.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133.18 : 13,696.53 = 3,288.22 : x
  2. Step 2: Convert to fraction form
    9,133.18/13,696.53 = 3,288.22/x
  3. Step 3: Cross multiply
    9,133.18x = 13,696.53 × 3,288.22
  4. Step 4: Simplify right side
    9,133.18x = 45,037,203.88
  5. Step 5: Solve for x
    x = 45,037,203.88/9,133.18
  6. Step 6: Final answer
    x = 4,931.16

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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.