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Finding the Fourth Proportional to 9,614.58, 14,395.80 and 4,987.86

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Solution

The fourth proportional to 9,614.58, 14,395.80 and 4,987.86 is: 7,468.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.58 : 14,395.80 = 4,987.86 : x
  2. Step 2: Convert to fraction form
    9,614.58/14,395.80 = 4,987.86/x
  3. Step 3: Cross multiply
    9,614.58x = 14,395.80 × 4,987.86
  4. Step 4: Simplify right side
    9,614.58x = 71,804,234.99
  5. Step 5: Solve for x
    x = 71,804,234.99/9,614.58
  6. Step 6: Final answer
    x = 7,468.27

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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.