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Finding the Fourth Proportional to 9,567.48, 14,365.80 and 7,934.52

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Solution

The fourth proportional to 9,567.48, 14,365.80 and 7,934.52 is: 11,913.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.48 : 14,365.80 = 7,934.52 : x
  2. Step 2: Convert to fraction form
    9,567.48/14,365.80 = 7,934.52/x
  3. Step 3: Cross multiply
    9,567.48x = 14,365.80 × 7,934.52
  4. Step 4: Simplify right side
    9,567.48x = 113,985,727.42
  5. Step 5: Solve for x
    x = 113,985,727.42/9,567.48
  6. Step 6: Final answer
    x = 11,913.87

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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.