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Finding the Fourth Proportional to 9,820.54, 14,730.74 and 3,977.06

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Solution

The fourth proportional to 9,820.54, 14,730.74 and 3,977.06 is: 5,965.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.54 : 14,730.74 = 3,977.06 : x
  2. Step 2: Convert to fraction form
    9,820.54/14,730.74 = 3,977.06/x
  3. Step 3: Cross multiply
    9,820.54x = 14,730.74 × 3,977.06
  4. Step 4: Simplify right side
    9,820.54x = 58,585,036.82
  5. Step 5: Solve for x
    x = 58,585,036.82/9,820.54
  6. Step 6: Final answer
    x = 5,965.56

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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.