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Finding the Fourth Proportional to 9,530.00, 13,150.82 and 5,597.63

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Solution

The fourth proportional to 9,530.00, 13,150.82 and 5,597.63 is: 7,724.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,530.00 : 13,150.82 = 5,597.63 : x
  2. Step 2: Convert to fraction form
    9,530.00/13,150.82 = 5,597.63/x
  3. Step 3: Cross multiply
    9,530.00x = 13,150.82 × 5,597.63
  4. Step 4: Simplify right side
    9,530.00x = 73,613,330.81
  5. Step 5: Solve for x
    x = 73,613,330.81/9,530.00
  6. Step 6: Final answer
    x = 7,724.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.