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Finding the Fourth Proportional to 9,196, 13,796.72 and 5,303.20

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Solution

The fourth proportional to 9,196, 13,796.72 and 5,303.20 is: 7,956.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196 : 13,796.72 = 5,303.20 : x
  2. Step 2: Convert to fraction form
    9,196/13,796.72 = 5,303.20/x
  3. Step 3: Cross multiply
    9,196x = 13,796.72 × 5,303.20
  4. Step 4: Simplify right side
    9,196x = 73,166,765.50
  5. Step 5: Solve for x
    x = 73,166,765.50/9,196
  6. Step 6: Final answer
    x = 7,956.37

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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.