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Finding the Fourth Proportional to 6,509.18, 9,754.54 and 4,758.21

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Solution

The fourth proportional to 6,509.18, 9,754.54 and 4,758.21 is: 7,130.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.18 : 9,754.54 = 4,758.21 : x
  2. Step 2: Convert to fraction form
    6,509.18/9,754.54 = 4,758.21/x
  3. Step 3: Cross multiply
    6,509.18x = 9,754.54 × 4,758.21
  4. Step 4: Simplify right side
    6,509.18x = 46,414,137.88
  5. Step 5: Solve for x
    x = 46,414,137.88/6,509.18
  6. Step 6: Final answer
    x = 7,130.57

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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.