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Finding the Fourth Proportional to 6,025.77, 9,030.96 and 5,242.50

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Solution

The fourth proportional to 6,025.77, 9,030.96 and 5,242.50 is: 7,857.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,025.77 : 9,030.96 = 5,242.50 : x
  2. Step 2: Convert to fraction form
    6,025.77/9,030.96 = 5,242.50/x
  3. Step 3: Cross multiply
    6,025.77x = 9,030.96 × 5,242.50
  4. Step 4: Simplify right side
    6,025.77x = 47,344,807.80
  5. Step 5: Solve for x
    x = 47,344,807.80/6,025.77
  6. Step 6: Final answer
    x = 7,857.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.