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Finding the Fourth Proportional to 9,057.19, 13,563.84 and 4,603.14

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Solution

The fourth proportional to 9,057.19, 13,563.84 and 4,603.14 is: 6,893.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057.19 : 13,563.84 = 4,603.14 : x
  2. Step 2: Convert to fraction form
    9,057.19/13,563.84 = 4,603.14/x
  3. Step 3: Cross multiply
    9,057.19x = 13,563.84 × 4,603.14
  4. Step 4: Simplify right side
    9,057.19x = 62,436,254.46
  5. Step 5: Solve for x
    x = 62,436,254.46/9,057.19
  6. Step 6: Final answer
    x = 6,893.56

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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.