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Finding the Fourth Proportional to 9,863.93, 14,803.75 and 5,186.69

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Solution

The fourth proportional to 9,863.93, 14,803.75 and 5,186.69 is: 7,784.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.93 : 14,803.75 = 5,186.69 : x
  2. Step 2: Convert to fraction form
    9,863.93/14,803.75 = 5,186.69/x
  3. Step 3: Cross multiply
    9,863.93x = 14,803.75 × 5,186.69
  4. Step 4: Simplify right side
    9,863.93x = 76,782,388.07
  5. Step 5: Solve for x
    x = 76,782,388.07/9,863.93
  6. Step 6: Final answer
    x = 7,784.16

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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.