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Finding the Fourth Proportional to 9,319.00, 13,978.50 and 6,388.42

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Solution

The fourth proportional to 9,319.00, 13,978.50 and 6,388.42 is: 9,582.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,319.00 : 13,978.50 = 6,388.42 : x
  2. Step 2: Convert to fraction form
    9,319.00/13,978.50 = 6,388.42/x
  3. Step 3: Cross multiply
    9,319.00x = 13,978.50 × 6,388.42
  4. Step 4: Simplify right side
    9,319.00x = 89,300,427.14
  5. Step 5: Solve for x
    x = 89,300,427.14/9,319.00
  6. Step 6: Final answer
    x = 9,582.62

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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.