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Finding the Fourth Proportional to 9,457.89, 13,051.86 and 5,266.14

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Solution

The fourth proportional to 9,457.89, 13,051.86 and 5,266.14 is: 7,267.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,457.89 : 13,051.86 = 5,266.14 : x
  2. Step 2: Convert to fraction form
    9,457.89/13,051.86 = 5,266.14/x
  3. Step 3: Cross multiply
    9,457.89x = 13,051.86 × 5,266.14
  4. Step 4: Simplify right side
    9,457.89x = 68,732,922.02
  5. Step 5: Solve for x
    x = 68,732,922.02/9,457.89
  6. Step 6: Final answer
    x = 7,267.26

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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.