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Finding the Fourth Proportional to 9,570.62, 14,357.65 and 3,945.16

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Solution

The fourth proportional to 9,570.62, 14,357.65 and 3,945.16 is: 5,918.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.62 : 14,357.65 = 3,945.16 : x
  2. Step 2: Convert to fraction form
    9,570.62/14,357.65 = 3,945.16/x
  3. Step 3: Cross multiply
    9,570.62x = 14,357.65 × 3,945.16
  4. Step 4: Simplify right side
    9,570.62x = 56,643,180.72
  5. Step 5: Solve for x
    x = 56,643,180.72/9,570.62
  6. Step 6: Final answer
    x = 5,918.44

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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.