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Finding the Fourth Proportional to 9,790.74, 14,686.08 and 2,395.10

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Solution

The fourth proportional to 9,790.74, 14,686.08 and 2,395.10 is: 3,592.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790.74 : 14,686.08 = 2,395.10 : x
  2. Step 2: Convert to fraction form
    9,790.74/14,686.08 = 2,395.10/x
  3. Step 3: Cross multiply
    9,790.74x = 14,686.08 × 2,395.10
  4. Step 4: Simplify right side
    9,790.74x = 35,174,556.78
  5. Step 5: Solve for x
    x = 35,174,556.78/9,790.74
  6. Step 6: Final answer
    x = 3,592.64

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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.