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Finding the Fourth Proportional to 6,025.08, 9,038.03 and 1,642.17

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Solution

The fourth proportional to 6,025.08, 9,038.03 and 1,642.17 is: 2,463.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,025.08 : 9,038.03 = 1,642.17 : x
  2. Step 2: Convert to fraction form
    6,025.08/9,038.03 = 1,642.17/x
  3. Step 3: Cross multiply
    6,025.08x = 9,038.03 × 1,642.17
  4. Step 4: Simplify right side
    6,025.08x = 14,841,973.51
  5. Step 5: Solve for x
    x = 14,841,973.51/6,025.08
  6. Step 6: Final answer
    x = 2,463.37

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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.