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Finding the Fourth Proportional to 9,655.06, 14,467.47 and 7,706.74

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Solution

The fourth proportional to 9,655.06, 14,467.47 and 7,706.74 is: 11,548.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.06 : 14,467.47 = 7,706.74 : x
  2. Step 2: Convert to fraction form
    9,655.06/14,467.47 = 7,706.74/x
  3. Step 3: Cross multiply
    9,655.06x = 14,467.47 × 7,706.74
  4. Step 4: Simplify right side
    9,655.06x = 111,497,029.75
  5. Step 5: Solve for x
    x = 111,497,029.75/9,655.06
  6. Step 6: Final answer
    x = 11,548.04

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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.