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Finding the Fourth Proportional to 9,655.09, 13,325.76 and 5,676.41

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Solution

The fourth proportional to 9,655.09, 13,325.76 and 5,676.41 is: 7,834.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.09 : 13,325.76 = 5,676.41 : x
  2. Step 2: Convert to fraction form
    9,655.09/13,325.76 = 5,676.41/x
  3. Step 3: Cross multiply
    9,655.09x = 13,325.76 × 5,676.41
  4. Step 4: Simplify right side
    9,655.09x = 75,642,510.64
  5. Step 5: Solve for x
    x = 75,642,510.64/9,655.09
  6. Step 6: Final answer
    x = 7,834.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.