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Finding the Fourth Proportional to 9,678.22, 13,356.02 and 6,319.01

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Solution

The fourth proportional to 9,678.22, 13,356.02 and 6,319.01 is: 8,720.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.22 : 13,356.02 = 6,319.01 : x
  2. Step 2: Convert to fraction form
    9,678.22/13,356.02 = 6,319.01/x
  3. Step 3: Cross multiply
    9,678.22x = 13,356.02 × 6,319.01
  4. Step 4: Simplify right side
    9,678.22x = 84,396,873.13
  5. Step 5: Solve for x
    x = 84,396,873.13/9,678.22
  6. Step 6: Final answer
    x = 8,720.29

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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.