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Finding the Fourth Proportional to 9,319.12, 13,968.08 and 4,869.92

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Solution

The fourth proportional to 9,319.12, 13,968.08 and 4,869.92 is: 7,299.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,319.12 : 13,968.08 = 4,869.92 : x
  2. Step 2: Convert to fraction form
    9,319.12/13,968.08 = 4,869.92/x
  3. Step 3: Cross multiply
    9,319.12x = 13,968.08 × 4,869.92
  4. Step 4: Simplify right side
    9,319.12x = 68,023,460.99
  5. Step 5: Solve for x
    x = 68,023,460.99/9,319.12
  6. Step 6: Final answer
    x = 7,299.35

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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.