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Finding the Fourth Proportional to 9,841.14, 14,696.47 and 8,648.82

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Solution

The fourth proportional to 9,841.14, 14,696.47 and 8,648.82 is: 12,915.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.14 : 14,696.47 = 8,648.82 : x
  2. Step 2: Convert to fraction form
    9,841.14/14,696.47 = 8,648.82/x
  3. Step 3: Cross multiply
    9,841.14x = 14,696.47 × 8,648.82
  4. Step 4: Simplify right side
    9,841.14x = 127,107,050.18
  5. Step 5: Solve for x
    x = 127,107,050.18/9,841.14
  6. Step 6: Final answer
    x = 12,915.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.