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Finding the Fourth Proportional to 9,775.04, 14,662.49 and 3,931.56

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Solution

The fourth proportional to 9,775.04, 14,662.49 and 3,931.56 is: 5,897.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.04 : 14,662.49 = 3,931.56 : x
  2. Step 2: Convert to fraction form
    9,775.04/14,662.49 = 3,931.56/x
  3. Step 3: Cross multiply
    9,775.04x = 14,662.49 × 3,931.56
  4. Step 4: Simplify right side
    9,775.04x = 57,646,439.53
  5. Step 5: Solve for x
    x = 57,646,439.53/9,775.04
  6. Step 6: Final answer
    x = 5,897.31

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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.