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Finding the Fourth Proportional to 9,674.51, 14,516.21 and 5,733.58

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Solution

The fourth proportional to 9,674.51, 14,516.21 and 5,733.58 is: 8,603.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.51 : 14,516.21 = 5,733.58 : x
  2. Step 2: Convert to fraction form
    9,674.51/14,516.21 = 5,733.58/x
  3. Step 3: Cross multiply
    9,674.51x = 14,516.21 × 5,733.58
  4. Step 4: Simplify right side
    9,674.51x = 83,229,851.33
  5. Step 5: Solve for x
    x = 83,229,851.33/9,674.51
  6. Step 6: Final answer
    x = 8,603.00

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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.