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Finding the Fourth Proportional to 6,094.12, 9,141.18 and 1,477.12

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Solution

The fourth proportional to 6,094.12, 9,141.18 and 1,477.12 is: 2,215.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.12 : 9,141.18 = 1,477.12 : x
  2. Step 2: Convert to fraction form
    6,094.12/9,141.18 = 1,477.12/x
  3. Step 3: Cross multiply
    6,094.12x = 9,141.18 × 1,477.12
  4. Step 4: Simplify right side
    6,094.12x = 13,502,591.41
  5. Step 5: Solve for x
    x = 13,502,591.41/6,094.12
  6. Step 6: Final answer
    x = 2,215.68

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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.