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Finding the Fourth Proportional to 9,567.93, 13,203.74 and 5,318.86

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Solution

The fourth proportional to 9,567.93, 13,203.74 and 5,318.86 is: 7,340.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.93 : 13,203.74 = 5,318.86 : x
  2. Step 2: Convert to fraction form
    9,567.93/13,203.74 = 5,318.86/x
  3. Step 3: Cross multiply
    9,567.93x = 13,203.74 × 5,318.86
  4. Step 4: Simplify right side
    9,567.93x = 70,228,784.93
  5. Step 5: Solve for x
    x = 70,228,784.93/9,567.93
  6. Step 6: Final answer
    x = 7,340.02

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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.