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Finding the Fourth Proportional to 9,782.68, 14,660.75 and 4,506.08

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Solution

The fourth proportional to 9,782.68, 14,660.75 and 4,506.08 is: 6,753.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.68 : 14,660.75 = 4,506.08 : x
  2. Step 2: Convert to fraction form
    9,782.68/14,660.75 = 4,506.08/x
  3. Step 3: Cross multiply
    9,782.68x = 14,660.75 × 4,506.08
  4. Step 4: Simplify right side
    9,782.68x = 66,062,526.48
  5. Step 5: Solve for x
    x = 66,062,526.48/9,782.68
  6. Step 6: Final answer
    x = 6,753.01

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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.