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Finding the Fourth Proportional to 7,196.42, 9,931.21 and 4,009.55

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Solution

The fourth proportional to 7,196.42, 9,931.21 and 4,009.55 is: 5,533.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.42 : 9,931.21 = 4,009.55 : x
  2. Step 2: Convert to fraction form
    7,196.42/9,931.21 = 4,009.55/x
  3. Step 3: Cross multiply
    7,196.42x = 9,931.21 × 4,009.55
  4. Step 4: Simplify right side
    7,196.42x = 39,819,623.38
  5. Step 5: Solve for x
    x = 39,819,623.38/7,196.42
  6. Step 6: Final answer
    x = 5,533.25

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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.