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Finding the Fourth Proportional to 13,094.52, 19,646.73 and 6,077.90

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Solution

The fourth proportional to 13,094.52, 19,646.73 and 6,077.90 is: 9,119.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,094.52 : 19,646.73 = 6,077.90 : x
  2. Step 2: Convert to fraction form
    13,094.52/19,646.73 = 6,077.90/x
  3. Step 3: Cross multiply
    13,094.52x = 19,646.73 × 6,077.90
  4. Step 4: Simplify right side
    13,094.52x = 119,410,762.03
  5. Step 5: Solve for x
    x = 119,410,762.03/13,094.52
  6. Step 6: Final answer
    x = 9,119.14

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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.