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Finding the Fourth Proportional to 9,313.83, 12,853.18 and 5,334.86

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Solution

The fourth proportional to 9,313.83, 12,853.18 and 5,334.86 is: 7,362.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.83 : 12,853.18 = 5,334.86 : x
  2. Step 2: Convert to fraction form
    9,313.83/12,853.18 = 5,334.86/x
  3. Step 3: Cross multiply
    9,313.83x = 12,853.18 × 5,334.86
  4. Step 4: Simplify right side
    9,313.83x = 68,569,934.65
  5. Step 5: Solve for x
    x = 68,569,934.65/9,313.83
  6. Step 6: Final answer
    x = 7,362.16

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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.