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Finding the Fourth Proportional to 7,114.67, 9,814.16 and 4,130.12

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Solution

The fourth proportional to 7,114.67, 9,814.16 and 4,130.12 is: 5,697.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.67 : 9,814.16 = 4,130.12 : x
  2. Step 2: Convert to fraction form
    7,114.67/9,814.16 = 4,130.12/x
  3. Step 3: Cross multiply
    7,114.67x = 9,814.16 × 4,130.12
  4. Step 4: Simplify right side
    7,114.67x = 40,533,693.36
  5. Step 5: Solve for x
    x = 40,533,693.36/7,114.67
  6. Step 6: Final answer
    x = 5,697.20

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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.