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Finding the Fourth Proportional to 9,703.60, 14,536.20 and 5,796.40

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Solution

The fourth proportional to 9,703.60, 14,536.20 and 5,796.40 is: 8,683.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.60 : 14,536.20 = 5,796.40 : x
  2. Step 2: Convert to fraction form
    9,703.60/14,536.20 = 5,796.40/x
  3. Step 3: Cross multiply
    9,703.60x = 14,536.20 × 5,796.40
  4. Step 4: Simplify right side
    9,703.60x = 84,257,629.68
  5. Step 5: Solve for x
    x = 84,257,629.68/9,703.60
  6. Step 6: Final answer
    x = 8,683.13

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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.