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Finding the Fourth Proportional to 9,202, 13,782.34 and 7,107.36

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Solution

The fourth proportional to 9,202, 13,782.34 and 7,107.36 is: 10,645.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202 : 13,782.34 = 7,107.36 : x
  2. Step 2: Convert to fraction form
    9,202/13,782.34 = 7,107.36/x
  3. Step 3: Cross multiply
    9,202x = 13,782.34 × 7,107.36
  4. Step 4: Simplify right side
    9,202x = 97,956,052.02
  5. Step 5: Solve for x
    x = 97,956,052.02/9,202
  6. Step 6: Final answer
    x = 10,645.08

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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.