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Finding the Fourth Proportional to 9,310.14, 14,038.34 and 8,535.24

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Solution

The fourth proportional to 9,310.14, 14,038.34 and 8,535.24 is: 12,869.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,310.14 : 14,038.34 = 8,535.24 : x
  2. Step 2: Convert to fraction form
    9,310.14/14,038.34 = 8,535.24/x
  3. Step 3: Cross multiply
    9,310.14x = 14,038.34 × 8,535.24
  4. Step 4: Simplify right side
    9,310.14x = 119,820,558.43
  5. Step 5: Solve for x
    x = 119,820,558.43/9,310.14
  6. Step 6: Final answer
    x = 12,869.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.