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Finding the Fourth Proportional to 9,146.70, 13,727.52 and 4,765.41

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Solution

The fourth proportional to 9,146.70, 13,727.52 and 4,765.41 is: 7,152.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.70 : 13,727.52 = 4,765.41 : x
  2. Step 2: Convert to fraction form
    9,146.70/13,727.52 = 4,765.41/x
  3. Step 3: Cross multiply
    9,146.70x = 13,727.52 × 4,765.41
  4. Step 4: Simplify right side
    9,146.70x = 65,417,261.08
  5. Step 5: Solve for x
    x = 65,417,261.08/9,146.70
  6. Step 6: Final answer
    x = 7,152.01

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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.