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Finding the Fourth Proportional to 9,317.00, 13,975.49 and 6,386.42

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Solution

The fourth proportional to 9,317.00, 13,975.49 and 6,386.42 is: 9,579.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,317.00 : 13,975.49 = 6,386.42 : x
  2. Step 2: Convert to fraction form
    9,317.00/13,975.49 = 6,386.42/x
  3. Step 3: Cross multiply
    9,317.00x = 13,975.49 × 6,386.42
  4. Step 4: Simplify right side
    9,317.00x = 89,253,294.93
  5. Step 5: Solve for x
    x = 89,253,294.93/9,317.00
  6. Step 6: Final answer
    x = 9,579.62

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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.