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Finding the Fourth Proportional to 9,710.60, 14,556.30 and 3,859.40

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Solution

The fourth proportional to 9,710.60, 14,556.30 and 3,859.40 is: 5,785.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.60 : 14,556.30 = 3,859.40 : x
  2. Step 2: Convert to fraction form
    9,710.60/14,556.30 = 3,859.40/x
  3. Step 3: Cross multiply
    9,710.60x = 14,556.30 × 3,859.40
  4. Step 4: Simplify right side
    9,710.60x = 56,178,584.22
  5. Step 5: Solve for x
    x = 56,178,584.22/9,710.60
  6. Step 6: Final answer
    x = 5,785.28

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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.