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Finding the Fourth Proportional to 9,142.50, 13,714.41 and 4,466.41

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Solution

The fourth proportional to 9,142.50, 13,714.41 and 4,466.41 is: 6,699.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.50 : 13,714.41 = 4,466.41 : x
  2. Step 2: Convert to fraction form
    9,142.50/13,714.41 = 4,466.41/x
  3. Step 3: Cross multiply
    9,142.50x = 13,714.41 × 4,466.41
  4. Step 4: Simplify right side
    9,142.50x = 61,254,160.43
  5. Step 5: Solve for x
    x = 61,254,160.43/9,142.50
  6. Step 6: Final answer
    x = 6,699.93

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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.