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Finding the Fourth Proportional to 9,707.68, 14,561.93 and 3,133.05

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Solution

The fourth proportional to 9,707.68, 14,561.93 and 3,133.05 is: 4,699.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.68 : 14,561.93 = 3,133.05 : x
  2. Step 2: Convert to fraction form
    9,707.68/14,561.93 = 3,133.05/x
  3. Step 3: Cross multiply
    9,707.68x = 14,561.93 × 3,133.05
  4. Step 4: Simplify right side
    9,707.68x = 45,623,254.79
  5. Step 5: Solve for x
    x = 45,623,254.79/9,707.68
  6. Step 6: Final answer
    x = 4,699.71

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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.