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Finding the Fourth Proportional to 9,751.16, 13,457.68 and 5,773.26

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Solution

The fourth proportional to 9,751.16, 13,457.68 and 5,773.26 is: 7,967.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.16 : 13,457.68 = 5,773.26 : x
  2. Step 2: Convert to fraction form
    9,751.16/13,457.68 = 5,773.26/x
  3. Step 3: Cross multiply
    9,751.16x = 13,457.68 × 5,773.26
  4. Step 4: Simplify right side
    9,751.16x = 77,694,685.64
  5. Step 5: Solve for x
    x = 77,694,685.64/9,751.16
  6. Step 6: Final answer
    x = 7,967.74

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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.