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Finding the Fourth Proportional to 9,301.26, 12,835.83 and 5,109.51

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Solution

The fourth proportional to 9,301.26, 12,835.83 and 5,109.51 is: 7,051.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.26 : 12,835.83 = 5,109.51 : x
  2. Step 2: Convert to fraction form
    9,301.26/12,835.83 = 5,109.51/x
  3. Step 3: Cross multiply
    9,301.26x = 12,835.83 × 5,109.51
  4. Step 4: Simplify right side
    9,301.26x = 65,584,801.74
  5. Step 5: Solve for x
    x = 65,584,801.74/9,301.26
  6. Step 6: Final answer
    x = 7,051.17

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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.