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Finding the Fourth Proportional to 7,114.75, 9,817.81 and 4,130.10

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Solution

The fourth proportional to 7,114.75, 9,817.81 and 4,130.10 is: 5,699.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.75 : 9,817.81 = 4,130.10 : x
  2. Step 2: Convert to fraction form
    7,114.75/9,817.81 = 4,130.10/x
  3. Step 3: Cross multiply
    7,114.75x = 9,817.81 × 4,130.10
  4. Step 4: Simplify right side
    7,114.75x = 40,548,467.34
  5. Step 5: Solve for x
    x = 40,548,467.34/7,114.75
  6. Step 6: Final answer
    x = 5,699.22

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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.