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Finding the Fourth Proportional to 9,301.51, 12,836.10 and 5,109.76

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Solution

The fourth proportional to 9,301.51, 12,836.10 and 5,109.76 is: 7,051.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.51 : 12,836.10 = 5,109.76 : x
  2. Step 2: Convert to fraction form
    9,301.51/12,836.10 = 5,109.76/x
  3. Step 3: Cross multiply
    9,301.51x = 12,836.10 × 5,109.76
  4. Step 4: Simplify right side
    9,301.51x = 65,589,390.34
  5. Step 5: Solve for x
    x = 65,589,390.34/9,301.51
  6. Step 6: Final answer
    x = 7,051.48

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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.