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Finding the Fourth Proportional to 9,051.48, 12,491.22 and 5,073

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Solution

The fourth proportional to 9,051.48, 12,491.22 and 5,073 is: 7,000.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,051.48 : 12,491.22 = 5,073 : x
  2. Step 2: Convert to fraction form
    9,051.48/12,491.22 = 5,073/x
  3. Step 3: Cross multiply
    9,051.48x = 12,491.22 × 5,073
  4. Step 4: Simplify right side
    9,051.48x = 63,367,959.06
  5. Step 5: Solve for x
    x = 63,367,959.06/9,051.48
  6. Step 6: Final answer
    x = 7,000.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.