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Finding the Fourth Proportional to 6,094.34, 9,141.48 and 1,477.34

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Solution

The fourth proportional to 6,094.34, 9,141.48 and 1,477.34 is: 2,216.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.34 : 9,141.48 = 1,477.34 : x
  2. Step 2: Convert to fraction form
    6,094.34/9,141.48 = 1,477.34/x
  3. Step 3: Cross multiply
    6,094.34x = 9,141.48 × 1,477.34
  4. Step 4: Simplify right side
    6,094.34x = 13,505,074.06
  5. Step 5: Solve for x
    x = 13,505,074.06/6,094.34
  6. Step 6: Final answer
    x = 2,216.00

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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.