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Finding the Fourth Proportional to 9,778.95, 14,662.57 and 3,112.57

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Solution

The fourth proportional to 9,778.95, 14,662.57 and 3,112.57 is: 4,666.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.95 : 14,662.57 = 3,112.57 : x
  2. Step 2: Convert to fraction form
    9,778.95/14,662.57 = 3,112.57/x
  3. Step 3: Cross multiply
    9,778.95x = 14,662.57 × 3,112.57
  4. Step 4: Simplify right side
    9,778.95x = 45,638,305.51
  5. Step 5: Solve for x
    x = 45,638,305.51/9,778.95
  6. Step 6: Final answer
    x = 4,666.99

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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.