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Finding the Fourth Proportional to 9,457.74, 13,051.17 and 5,207.97

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Solution

The fourth proportional to 9,457.74, 13,051.17 and 5,207.97 is: 7,186.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,457.74 : 13,051.17 = 5,207.97 : x
  2. Step 2: Convert to fraction form
    9,457.74/13,051.17 = 5,207.97/x
  3. Step 3: Cross multiply
    9,457.74x = 13,051.17 × 5,207.97
  4. Step 4: Simplify right side
    9,457.74x = 67,970,077.35
  5. Step 5: Solve for x
    x = 67,970,077.35/9,457.74
  6. Step 6: Final answer
    x = 7,186.72

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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.