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Finding the Fourth Proportional to 9,026.50, 12,456.47 and 5,047.58

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Solution

The fourth proportional to 9,026.50, 12,456.47 and 5,047.58 is: 6,965.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,026.50 : 12,456.47 = 5,047.58 : x
  2. Step 2: Convert to fraction form
    9,026.50/12,456.47 = 5,047.58/x
  3. Step 3: Cross multiply
    9,026.50x = 12,456.47 × 5,047.58
  4. Step 4: Simplify right side
    9,026.50x = 62,874,941.32
  5. Step 5: Solve for x
    x = 62,874,941.32/9,026.50
  6. Step 6: Final answer
    x = 6,965.59

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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.