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Finding the Fourth Proportional to 9,026.92, 12,457.43 and 5,048.74

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Solution

The fourth proportional to 9,026.92, 12,457.43 and 5,048.74 is: 6,967.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,026.92 : 12,457.43 = 5,048.74 : x
  2. Step 2: Convert to fraction form
    9,026.92/12,457.43 = 5,048.74/x
  3. Step 3: Cross multiply
    9,026.92x = 12,457.43 × 5,048.74
  4. Step 4: Simplify right side
    9,026.92x = 62,894,325.14
  5. Step 5: Solve for x
    x = 62,894,325.14/9,026.92
  6. Step 6: Final answer
    x = 6,967.42

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