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Finding the Fourth Proportional to 10,134.14, 13,995.06 and 6,599.36

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Solution

The fourth proportional to 10,134.14, 13,995.06 and 6,599.36 is: 9,113.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,134.14 : 13,995.06 = 6,599.36 : x
  2. Step 2: Convert to fraction form
    10,134.14/13,995.06 = 6,599.36/x
  3. Step 3: Cross multiply
    10,134.14x = 13,995.06 × 6,599.36
  4. Step 4: Simplify right side
    10,134.14x = 92,358,439.16
  5. Step 5: Solve for x
    x = 92,358,439.16/10,134.14
  6. Step 6: Final answer
    x = 9,113.59

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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.