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Finding the Fourth Proportional to 9,319.84, 12,861.64 and 5,071.16

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Solution

The fourth proportional to 9,319.84, 12,861.64 and 5,071.16 is: 6,998.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,319.84 : 12,861.64 = 5,071.16 : x
  2. Step 2: Convert to fraction form
    9,319.84/12,861.64 = 5,071.16/x
  3. Step 3: Cross multiply
    9,319.84x = 12,861.64 × 5,071.16
  4. Step 4: Simplify right side
    9,319.84x = 65,223,434.30
  5. Step 5: Solve for x
    x = 65,223,434.30/9,319.84
  6. Step 6: Final answer
    x = 6,998.34

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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.