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Finding the Fourth Proportional to 9,319.96, 12,859.86 and 5,340.16

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Solution

The fourth proportional to 9,319.96, 12,859.86 and 5,340.16 is: 7,368.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,319.96 : 12,859.86 = 5,340.16 : x
  2. Step 2: Convert to fraction form
    9,319.96/12,859.86 = 5,340.16/x
  3. Step 3: Cross multiply
    9,319.96x = 12,859.86 × 5,340.16
  4. Step 4: Simplify right side
    9,319.96x = 68,673,709.98
  5. Step 5: Solve for x
    x = 68,673,709.98/9,319.96
  6. Step 6: Final answer
    x = 7,368.46

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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.