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Finding the Fourth Proportional to 9,567.72, 14,339.16 and 4,630.50

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Solution

The fourth proportional to 9,567.72, 14,339.16 and 4,630.50 is: 6,939.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.72 : 14,339.16 = 4,630.50 : x
  2. Step 2: Convert to fraction form
    9,567.72/14,339.16 = 4,630.50/x
  3. Step 3: Cross multiply
    9,567.72x = 14,339.16 × 4,630.50
  4. Step 4: Simplify right side
    9,567.72x = 66,397,480.38
  5. Step 5: Solve for x
    x = 66,397,480.38/9,567.72
  6. Step 6: Final answer
    x = 6,939.74

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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.