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Finding the Fourth Proportional to 9,314.35, 12,845.01 and 6,122.00

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Solution

The fourth proportional to 9,314.35, 12,845.01 and 6,122.00 is: 8,442.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.35 : 12,845.01 = 6,122.00 : x
  2. Step 2: Convert to fraction form
    9,314.35/12,845.01 = 6,122.00/x
  3. Step 3: Cross multiply
    9,314.35x = 12,845.01 × 6,122.00
  4. Step 4: Simplify right side
    9,314.35x = 78,637,206.29
  5. Step 5: Solve for x
    x = 78,637,206.29/9,314.35
  6. Step 6: Final answer
    x = 8,442.59

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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.