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Finding the Fourth Proportional to 9,850.68, 14,746.86 and 6,552.36

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Solution

The fourth proportional to 9,850.68, 14,746.86 and 6,552.36 is: 9,809.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.68 : 14,746.86 = 6,552.36 : x
  2. Step 2: Convert to fraction form
    9,850.68/14,746.86 = 6,552.36/x
  3. Step 3: Cross multiply
    9,850.68x = 14,746.86 × 6,552.36
  4. Step 4: Simplify right side
    9,850.68x = 96,626,735.59
  5. Step 5: Solve for x
    x = 96,626,735.59/9,850.68
  6. Step 6: Final answer
    x = 9,809.14

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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.