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Finding the Fourth Proportional to 9,773.08, 14,655.96 and 3,927.71

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Solution

The fourth proportional to 9,773.08, 14,655.96 and 3,927.71 is: 5,890.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.08 : 14,655.96 = 3,927.71 : x
  2. Step 2: Convert to fraction form
    9,773.08/14,655.96 = 3,927.71/x
  3. Step 3: Cross multiply
    9,773.08x = 14,655.96 × 3,927.71
  4. Step 4: Simplify right side
    9,773.08x = 57,564,360.65
  5. Step 5: Solve for x
    x = 57,564,360.65/9,773.08
  6. Step 6: Final answer
    x = 5,890.10

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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.