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Finding the Fourth Proportional to 9,640.71, 13,303.59 and 6,105.06

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Solution

The fourth proportional to 9,640.71, 13,303.59 and 6,105.06 is: 8,424.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.71 : 13,303.59 = 6,105.06 : x
  2. Step 2: Convert to fraction form
    9,640.71/13,303.59 = 6,105.06/x
  3. Step 3: Cross multiply
    9,640.71x = 13,303.59 × 6,105.06
  4. Step 4: Simplify right side
    9,640.71x = 81,219,215.17
  5. Step 5: Solve for x
    x = 81,219,215.17/9,640.71
  6. Step 6: Final answer
    x = 8,424.61

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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.