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Finding the Fourth Proportional to 9,674.07, 14,510.28 and 6,851.24

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Solution

The fourth proportional to 9,674.07, 14,510.28 and 6,851.24 is: 10,276.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.07 : 14,510.28 = 6,851.24 : x
  2. Step 2: Convert to fraction form
    9,674.07/14,510.28 = 6,851.24/x
  3. Step 3: Cross multiply
    9,674.07x = 14,510.28 × 6,851.24
  4. Step 4: Simplify right side
    9,674.07x = 99,413,338.20
  5. Step 5: Solve for x
    x = 99,413,338.20/9,674.07
  6. Step 6: Final answer
    x = 10,276.27

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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.