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Finding the Fourth Proportional to 9,911.64, 14,851.68 and 5,231.48

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Solution

The fourth proportional to 9,911.64, 14,851.68 and 5,231.48 is: 7,838.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911.64 : 14,851.68 = 5,231.48 : x
  2. Step 2: Convert to fraction form
    9,911.64/14,851.68 = 5,231.48/x
  3. Step 3: Cross multiply
    9,911.64x = 14,851.68 × 5,231.48
  4. Step 4: Simplify right side
    9,911.64x = 77,696,266.89
  5. Step 5: Solve for x
    x = 77,696,266.89/9,911.64
  6. Step 6: Final answer
    x = 7,838.89

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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.