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Finding the Fourth Proportional to 9,230.56, 13,823.52 and 6,460

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Solution

The fourth proportional to 9,230.56, 13,823.52 and 6,460 is: 9,674.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.56 : 13,823.52 = 6,460 : x
  2. Step 2: Convert to fraction form
    9,230.56/13,823.52 = 6,460/x
  3. Step 3: Cross multiply
    9,230.56x = 13,823.52 × 6,460
  4. Step 4: Simplify right side
    9,230.56x = 89,299,939.20
  5. Step 5: Solve for x
    x = 89,299,939.20/9,230.56
  6. Step 6: Final answer
    x = 9,674.38

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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.