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Finding the Fourth Proportional to 9,570.56, 14,354.11 and 3,565.52

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Solution

The fourth proportional to 9,570.56, 14,354.11 and 3,565.52 is: 5,347.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.56 : 14,354.11 = 3,565.52 : x
  2. Step 2: Convert to fraction form
    9,570.56/14,354.11 = 3,565.52/x
  3. Step 3: Cross multiply
    9,570.56x = 14,354.11 × 3,565.52
  4. Step 4: Simplify right side
    9,570.56x = 51,179,852.80
  5. Step 5: Solve for x
    x = 51,179,852.80/9,570.56
  6. Step 6: Final answer
    x = 5,347.64

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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.