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Finding the Fourth Proportional to 9,898.07, 14,828.47 and 7,696.09

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Solution

The fourth proportional to 9,898.07, 14,828.47 and 7,696.09 is: 11,529.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.07 : 14,828.47 = 7,696.09 : x
  2. Step 2: Convert to fraction form
    9,898.07/14,828.47 = 7,696.09/x
  3. Step 3: Cross multiply
    9,898.07x = 14,828.47 × 7,696.09
  4. Step 4: Simplify right side
    9,898.07x = 114,121,239.68
  5. Step 5: Solve for x
    x = 114,121,239.68/9,898.07
  6. Step 6: Final answer
    x = 11,529.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.