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Finding the Fourth Proportional to 6,465.48, 9,702.27 and 2,954.94

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Solution

The fourth proportional to 6,465.48, 9,702.27 and 2,954.94 is: 4,434.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.48 : 9,702.27 = 2,954.94 : x
  2. Step 2: Convert to fraction form
    6,465.48/9,702.27 = 2,954.94/x
  3. Step 3: Cross multiply
    6,465.48x = 9,702.27 × 2,954.94
  4. Step 4: Simplify right side
    6,465.48x = 28,669,625.71
  5. Step 5: Solve for x
    x = 28,669,625.71/6,465.48
  6. Step 6: Final answer
    x = 4,434.26

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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.