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Finding the Fourth Proportional to 9,851.60, 14,842.22 and 8,555.60

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Solution

The fourth proportional to 9,851.60, 14,842.22 and 8,555.60 is: 12,889.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.60 : 14,842.22 = 8,555.60 : x
  2. Step 2: Convert to fraction form
    9,851.60/14,842.22 = 8,555.60/x
  3. Step 3: Cross multiply
    9,851.60x = 14,842.22 × 8,555.60
  4. Step 4: Simplify right side
    9,851.60x = 126,984,097.43
  5. Step 5: Solve for x
    x = 126,984,097.43/9,851.60
  6. Step 6: Final answer
    x = 12,889.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.