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Finding the Fourth Proportional to 9,314.16, 12,852.48 and 5,336.07

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Solution

The fourth proportional to 9,314.16, 12,852.48 and 5,336.07 is: 7,363.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.16 : 12,852.48 = 5,336.07 : x
  2. Step 2: Convert to fraction form
    9,314.16/12,852.48 = 5,336.07/x
  3. Step 3: Cross multiply
    9,314.16x = 12,852.48 × 5,336.07
  4. Step 4: Simplify right side
    9,314.16x = 68,581,732.95
  5. Step 5: Solve for x
    x = 68,581,732.95/9,314.16
  6. Step 6: Final answer
    x = 7,363.17

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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.