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Finding the Fourth Proportional to 9,285.46, 12,814.99 and 6,452.08

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Solution

The fourth proportional to 9,285.46, 12,814.99 and 6,452.08 is: 8,904.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,285.46 : 12,814.99 = 6,452.08 : x
  2. Step 2: Convert to fraction form
    9,285.46/12,814.99 = 6,452.08/x
  3. Step 3: Cross multiply
    9,285.46x = 12,814.99 × 6,452.08
  4. Step 4: Simplify right side
    9,285.46x = 82,683,292.51
  5. Step 5: Solve for x
    x = 82,683,292.51/9,285.46
  6. Step 6: Final answer
    x = 8,904.60

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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.