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Finding the Fourth Proportional to 9,446.38, 13,045.44 and 7,784.26

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Solution

The fourth proportional to 9,446.38, 13,045.44 and 7,784.26 is: 10,750.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.38 : 13,045.44 = 7,784.26 : x
  2. Step 2: Convert to fraction form
    9,446.38/13,045.44 = 7,784.26/x
  3. Step 3: Cross multiply
    9,446.38x = 13,045.44 × 7,784.26
  4. Step 4: Simplify right side
    9,446.38x = 101,549,096.77
  5. Step 5: Solve for x
    x = 101,549,096.77/9,446.38
  6. Step 6: Final answer
    x = 10,750.05

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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.