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Finding the Fourth Proportional to 9,757.15, 14,639.01 and 3,094.74

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Solution

The fourth proportional to 9,757.15, 14,639.01 and 3,094.74 is: 4,643.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.15 : 14,639.01 = 3,094.74 : x
  2. Step 2: Convert to fraction form
    9,757.15/14,639.01 = 3,094.74/x
  3. Step 3: Cross multiply
    9,757.15x = 14,639.01 × 3,094.74
  4. Step 4: Simplify right side
    9,757.15x = 45,303,929.81
  5. Step 5: Solve for x
    x = 45,303,929.81/9,757.15
  6. Step 6: Final answer
    x = 4,643.15

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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.