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Finding the Fourth Proportional to 9,707.58, 14,561.33 and 2,782.08

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Solution

The fourth proportional to 9,707.58, 14,561.33 and 2,782.08 is: 4,173.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.58 : 14,561.33 = 2,782.08 : x
  2. Step 2: Convert to fraction form
    9,707.58/14,561.33 = 2,782.08/x
  3. Step 3: Cross multiply
    9,707.58x = 14,561.33 × 2,782.08
  4. Step 4: Simplify right side
    9,707.58x = 40,510,784.97
  5. Step 5: Solve for x
    x = 40,510,784.97/9,707.58
  6. Step 6: Final answer
    x = 4,173.11

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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.