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Finding the Fourth Proportional to 9,498.92, 14,236.00 and 6,875.27

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Solution

The fourth proportional to 9,498.92, 14,236.00 and 6,875.27 is: 10,303.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498.92 : 14,236.00 = 6,875.27 : x
  2. Step 2: Convert to fraction form
    9,498.92/14,236.00 = 6,875.27/x
  3. Step 3: Cross multiply
    9,498.92x = 14,236.00 × 6,875.27
  4. Step 4: Simplify right side
    9,498.92x = 97,876,255.35
  5. Step 5: Solve for x
    x = 97,876,255.35/9,498.92
  6. Step 6: Final answer
    x = 10,303.93

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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.