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Finding the Fourth Proportional to 9,433.36, 14,146.70 and 2,768

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Solution

The fourth proportional to 9,433.36, 14,146.70 and 2,768 is: 4,151.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,433.36 : 14,146.70 = 2,768 : x
  2. Step 2: Convert to fraction form
    9,433.36/14,146.70 = 2,768/x
  3. Step 3: Cross multiply
    9,433.36x = 14,146.70 × 2,768
  4. Step 4: Simplify right side
    9,433.36x = 39,158,065.60
  5. Step 5: Solve for x
    x = 39,158,065.60/9,433.36
  6. Step 6: Final answer
    x = 4,151.02

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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.