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Finding the Fourth Proportional to 9,319.28, 13,987.16 and 8,330.48

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Solution

The fourth proportional to 9,319.28, 13,987.16 and 8,330.48 is: 12,503.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,319.28 : 13,987.16 = 8,330.48 : x
  2. Step 2: Convert to fraction form
    9,319.28/13,987.16 = 8,330.48/x
  3. Step 3: Cross multiply
    9,319.28x = 13,987.16 × 8,330.48
  4. Step 4: Simplify right side
    9,319.28x = 116,519,756.64
  5. Step 5: Solve for x
    x = 116,519,756.64/9,319.28
  6. Step 6: Final answer
    x = 12,503.09

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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.