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Finding the Fourth Proportional to 9,816.51, 14,714.20 and 7,141.69

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Solution

The fourth proportional to 9,816.51, 14,714.20 and 7,141.69 is: 10,704.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,816.51 : 14,714.20 = 7,141.69 : x
  2. Step 2: Convert to fraction form
    9,816.51/14,714.20 = 7,141.69/x
  3. Step 3: Cross multiply
    9,816.51x = 14,714.20 × 7,141.69
  4. Step 4: Simplify right side
    9,816.51x = 105,084,255.00
  5. Step 5: Solve for x
    x = 105,084,255.00/9,816.51
  6. Step 6: Final answer
    x = 10,704.85

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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.