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Finding the Fourth Proportional to 9,561.65, 14,323.79 and 6,264.74

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Solution

The fourth proportional to 9,561.65, 14,323.79 and 6,264.74 is: 9,384.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,561.65 : 14,323.79 = 6,264.74 : x
  2. Step 2: Convert to fraction form
    9,561.65/14,323.79 = 6,264.74/x
  3. Step 3: Cross multiply
    9,561.65x = 14,323.79 × 6,264.74
  4. Step 4: Simplify right side
    9,561.65x = 89,734,717.22
  5. Step 5: Solve for x
    x = 89,734,717.22/9,561.65
  6. Step 6: Final answer
    x = 9,384.86

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Why These Related Problems?

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