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Finding the Fourth Proportional to 9,658.86, 14,464.53 and 4,712.55

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Solution

The fourth proportional to 9,658.86, 14,464.53 and 4,712.55 is: 7,057.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.86 : 14,464.53 = 4,712.55 : x
  2. Step 2: Convert to fraction form
    9,658.86/14,464.53 = 4,712.55/x
  3. Step 3: Cross multiply
    9,658.86x = 14,464.53 × 4,712.55
  4. Step 4: Simplify right side
    9,658.86x = 68,164,820.85
  5. Step 5: Solve for x
    x = 68,164,820.85/9,658.86
  6. Step 6: Final answer
    x = 7,057.23

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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.