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Finding the Fourth Proportional to 9,385.75, 14,078.63 and 2,460.25

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Solution

The fourth proportional to 9,385.75, 14,078.63 and 2,460.25 is: 3,690.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,385.75 : 14,078.63 = 2,460.25 : x
  2. Step 2: Convert to fraction form
    9,385.75/14,078.63 = 2,460.25/x
  3. Step 3: Cross multiply
    9,385.75x = 14,078.63 × 2,460.25
  4. Step 4: Simplify right side
    9,385.75x = 34,636,949.46
  5. Step 5: Solve for x
    x = 34,636,949.46/9,385.75
  6. Step 6: Final answer
    x = 3,690.38

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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.