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Finding the Fourth Proportional to 9,668.72, 14,483.64 and 5,042

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Solution

The fourth proportional to 9,668.72, 14,483.64 and 5,042 is: 7,552.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.72 : 14,483.64 = 5,042 : x
  2. Step 2: Convert to fraction form
    9,668.72/14,483.64 = 5,042/x
  3. Step 3: Cross multiply
    9,668.72x = 14,483.64 × 5,042
  4. Step 4: Simplify right side
    9,668.72x = 73,026,512.88
  5. Step 5: Solve for x
    x = 73,026,512.88/9,668.72
  6. Step 6: Final answer
    x = 7,552.86

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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.