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Finding the Fourth Proportional to 7,114.36, 9,815.43 and 4,129.12

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Solution

The fourth proportional to 7,114.36, 9,815.43 and 4,129.12 is: 5,696.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.36 : 9,815.43 = 4,129.12 : x
  2. Step 2: Convert to fraction form
    7,114.36/9,815.43 = 4,129.12/x
  3. Step 3: Cross multiply
    7,114.36x = 9,815.43 × 4,129.12
  4. Step 4: Simplify right side
    7,114.36x = 40,529,088.32
  5. Step 5: Solve for x
    x = 40,529,088.32/7,114.36
  6. Step 6: Final answer
    x = 5,696.80

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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.