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Finding the Fourth Proportional to 9,696.69, 13,384.71 and 6,298.34

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Solution

The fourth proportional to 9,696.69, 13,384.71 and 6,298.34 is: 8,693.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.69 : 13,384.71 = 6,298.34 : x
  2. Step 2: Convert to fraction form
    9,696.69/13,384.71 = 6,298.34/x
  3. Step 3: Cross multiply
    9,696.69x = 13,384.71 × 6,298.34
  4. Step 4: Simplify right side
    9,696.69x = 84,301,387.46
  5. Step 5: Solve for x
    x = 84,301,387.46/9,696.69
  6. Step 6: Final answer
    x = 8,693.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.