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Finding the Fourth Proportional to 9,354.12, 12,911.34 and 5,529.30

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Solution

The fourth proportional to 9,354.12, 12,911.34 and 5,529.30 is: 7,632.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.12 : 12,911.34 = 5,529.30 : x
  2. Step 2: Convert to fraction form
    9,354.12/12,911.34 = 5,529.30/x
  3. Step 3: Cross multiply
    9,354.12x = 12,911.34 × 5,529.30
  4. Step 4: Simplify right side
    9,354.12x = 71,390,672.26
  5. Step 5: Solve for x
    x = 71,390,672.26/9,354.12
  6. Step 6: Final answer
    x = 7,632.00

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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.