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Finding the Fourth Proportional to 9,319.60, 12,861.06 and 5,127.86

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Solution

The fourth proportional to 9,319.60, 12,861.06 and 5,127.86 is: 7,076.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,319.60 : 12,861.06 = 5,127.86 : x
  2. Step 2: Convert to fraction form
    9,319.60/12,861.06 = 5,127.86/x
  3. Step 3: Cross multiply
    9,319.60x = 12,861.06 × 5,127.86
  4. Step 4: Simplify right side
    9,319.60x = 65,949,715.13
  5. Step 5: Solve for x
    x = 65,949,715.13/9,319.60
  6. Step 6: Final answer
    x = 7,076.45

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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.