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Finding the Fourth Proportional to 9,595.65, 14,409.11 and 5,921.22

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Solution

The fourth proportional to 9,595.65, 14,409.11 and 5,921.22 is: 8,891.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,595.65 : 14,409.11 = 5,921.22 : x
  2. Step 2: Convert to fraction form
    9,595.65/14,409.11 = 5,921.22/x
  3. Step 3: Cross multiply
    9,595.65x = 14,409.11 × 5,921.22
  4. Step 4: Simplify right side
    9,595.65x = 85,319,480.71
  5. Step 5: Solve for x
    x = 85,319,480.71/9,595.65
  6. Step 6: Final answer
    x = 8,891.47

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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.