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Finding the Fourth Proportional to 7,053.12, 9,733.50 and 4,257

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Solution

The fourth proportional to 7,053.12, 9,733.50 and 4,257 is: 5,874.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053.12 : 9,733.50 = 4,257 : x
  2. Step 2: Convert to fraction form
    7,053.12/9,733.50 = 4,257/x
  3. Step 3: Cross multiply
    7,053.12x = 9,733.50 × 4,257
  4. Step 4: Simplify right side
    7,053.12x = 41,435,509.50
  5. Step 5: Solve for x
    x = 41,435,509.50/7,053.12
  6. Step 6: Final answer
    x = 5,874.78

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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.