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Finding the Fourth Proportional to 9,125.87, 13,688.80 and 3,207.40

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Solution

The fourth proportional to 9,125.87, 13,688.80 and 3,207.40 is: 4,811.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,125.87 : 13,688.80 = 3,207.40 : x
  2. Step 2: Convert to fraction form
    9,125.87/13,688.80 = 3,207.40/x
  3. Step 3: Cross multiply
    9,125.87x = 13,688.80 × 3,207.40
  4. Step 4: Simplify right side
    9,125.87x = 43,905,465.14
  5. Step 5: Solve for x
    x = 43,905,465.14/9,125.87
  6. Step 6: Final answer
    x = 4,811.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.