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Finding the Fourth Proportional to 9,636.06, 13,297.86 and 5,443.50

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Solution

The fourth proportional to 9,636.06, 13,297.86 and 5,443.50 is: 7,512.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636.06 : 13,297.86 = 5,443.50 : x
  2. Step 2: Convert to fraction form
    9,636.06/13,297.86 = 5,443.50/x
  3. Step 3: Cross multiply
    9,636.06x = 13,297.86 × 5,443.50
  4. Step 4: Simplify right side
    9,636.06x = 72,386,900.91
  5. Step 5: Solve for x
    x = 72,386,900.91/9,636.06
  6. Step 6: Final answer
    x = 7,512.08

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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.