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Finding the Fourth Proportional to 6,509.17, 9,763.66 and 1,578.85

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Solution

The fourth proportional to 6,509.17, 9,763.66 and 1,578.85 is: 2,368.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.17 : 9,763.66 = 1,578.85 : x
  2. Step 2: Convert to fraction form
    6,509.17/9,763.66 = 1,578.85/x
  3. Step 3: Cross multiply
    6,509.17x = 9,763.66 × 1,578.85
  4. Step 4: Simplify right side
    6,509.17x = 15,415,354.59
  5. Step 5: Solve for x
    x = 15,415,354.59/6,509.17
  6. Step 6: Final answer
    x = 2,368.25

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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.