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Finding the Fourth Proportional to 9,498.76, 14,238 and 4,822.24

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Solution

The fourth proportional to 9,498.76, 14,238 and 4,822.24 is: 7,228.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498.76 : 14,238 = 4,822.24 : x
  2. Step 2: Convert to fraction form
    9,498.76/14,238 = 4,822.24/x
  3. Step 3: Cross multiply
    9,498.76x = 14,238 × 4,822.24
  4. Step 4: Simplify right side
    9,498.76x = 68,659,053.12
  5. Step 5: Solve for x
    x = 68,659,053.12/9,498.76
  6. Step 6: Final answer
    x = 7,228.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.