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Finding the Fourth Proportional to 9,567.30, 14,357.52 and 3,723.96

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Solution

The fourth proportional to 9,567.30, 14,357.52 and 3,723.96 is: 5,588.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.30 : 14,357.52 = 3,723.96 : x
  2. Step 2: Convert to fraction form
    9,567.30/14,357.52 = 3,723.96/x
  3. Step 3: Cross multiply
    9,567.30x = 14,357.52 × 3,723.96
  4. Step 4: Simplify right side
    9,567.30x = 53,466,830.18
  5. Step 5: Solve for x
    x = 53,466,830.18/9,567.30
  6. Step 6: Final answer
    x = 5,588.50

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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.