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Finding the Fourth Proportional to 10,495.32, 14,486.52 and 6,912.89

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Solution

The fourth proportional to 10,495.32, 14,486.52 and 6,912.89 is: 9,541.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495.32 : 14,486.52 = 6,912.89 : x
  2. Step 2: Convert to fraction form
    10,495.32/14,486.52 = 6,912.89/x
  3. Step 3: Cross multiply
    10,495.32x = 14,486.52 × 6,912.89
  4. Step 4: Simplify right side
    10,495.32x = 100,143,789.10
  5. Step 5: Solve for x
    x = 100,143,789.10/10,495.32
  6. Step 6: Final answer
    x = 9,541.75

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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.