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Finding the Fourth Proportional to 13,094.32, 18,069.84 and 7,126

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Solution

The fourth proportional to 13,094.32, 18,069.84 and 7,126 is: 9,833.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,094.32 : 18,069.84 = 7,126 : x
  2. Step 2: Convert to fraction form
    13,094.32/18,069.84 = 7,126/x
  3. Step 3: Cross multiply
    13,094.32x = 18,069.84 × 7,126
  4. Step 4: Simplify right side
    13,094.32x = 128,765,679.84
  5. Step 5: Solve for x
    x = 128,765,679.84/13,094.32
  6. Step 6: Final answer
    x = 9,833.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.