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Finding the Fourth Proportional to 9,341.25, 14,011.87 and 6,410.67

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Solution

The fourth proportional to 9,341.25, 14,011.87 and 6,410.67 is: 9,616.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,341.25 : 14,011.87 = 6,410.67 : x
  2. Step 2: Convert to fraction form
    9,341.25/14,011.87 = 6,410.67/x
  3. Step 3: Cross multiply
    9,341.25x = 14,011.87 × 6,410.67
  4. Step 4: Simplify right side
    9,341.25x = 89,825,474.65
  5. Step 5: Solve for x
    x = 89,825,474.65/9,341.25
  6. Step 6: Final answer
    x = 9,616.00

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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.