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Finding the Fourth Proportional to 9,100.60, 12,563.04 and 6,863.40

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Solution

The fourth proportional to 9,100.60, 12,563.04 and 6,863.40 is: 9,474.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,100.60 : 12,563.04 = 6,863.40 : x
  2. Step 2: Convert to fraction form
    9,100.60/12,563.04 = 6,863.40/x
  3. Step 3: Cross multiply
    9,100.60x = 12,563.04 × 6,863.40
  4. Step 4: Simplify right side
    9,100.60x = 86,225,168.74
  5. Step 5: Solve for x
    x = 86,225,168.74/9,100.60
  6. Step 6: Final answer
    x = 9,474.67

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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.