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Finding the Fourth Proportional to 9,841.76, 14,771.18 and 5,165.08

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Solution

The fourth proportional to 9,841.76, 14,771.18 and 5,165.08 is: 7,752.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.76 : 14,771.18 = 5,165.08 : x
  2. Step 2: Convert to fraction form
    9,841.76/14,771.18 = 5,165.08/x
  3. Step 3: Cross multiply
    9,841.76x = 14,771.18 × 5,165.08
  4. Step 4: Simplify right side
    9,841.76x = 76,294,326.39
  5. Step 5: Solve for x
    x = 76,294,326.39/9,841.76
  6. Step 6: Final answer
    x = 7,752.10

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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.