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Finding the Fourth Proportional to 10,898.27, 14,934.85 and 9,848.51

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Solution

The fourth proportional to 10,898.27, 14,934.85 and 9,848.51 is: 13,496.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,898.27 : 14,934.85 = 9,848.51 : x
  2. Step 2: Convert to fraction form
    10,898.27/14,934.85 = 9,848.51/x
  3. Step 3: Cross multiply
    10,898.27x = 14,934.85 × 9,848.51
  4. Step 4: Simplify right side
    10,898.27x = 147,086,019.57
  5. Step 5: Solve for x
    x = 147,086,019.57/10,898.27
  6. Step 6: Final answer
    x = 13,496.27

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.