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Finding the Fourth Proportional to 9,460.47, 14,175.99 and 3,613.89

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Solution

The fourth proportional to 9,460.47, 14,175.99 and 3,613.89 is: 5,415.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460.47 : 14,175.99 = 3,613.89 : x
  2. Step 2: Convert to fraction form
    9,460.47/14,175.99 = 3,613.89/x
  3. Step 3: Cross multiply
    9,460.47x = 14,175.99 × 3,613.89
  4. Step 4: Simplify right side
    9,460.47x = 51,230,468.50
  5. Step 5: Solve for x
    x = 51,230,468.50/9,460.47
  6. Step 6: Final answer
    x = 5,415.21

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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.