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Finding the Fourth Proportional to 9,666.30, 14,504.10 and 4,733.25

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Solution

The fourth proportional to 9,666.30, 14,504.10 and 4,733.25 is: 7,102.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.30 : 14,504.10 = 4,733.25 : x
  2. Step 2: Convert to fraction form
    9,666.30/14,504.10 = 4,733.25/x
  3. Step 3: Cross multiply
    9,666.30x = 14,504.10 × 4,733.25
  4. Step 4: Simplify right side
    9,666.30x = 68,651,531.33
  5. Step 5: Solve for x
    x = 68,651,531.33/9,666.30
  6. Step 6: Final answer
    x = 7,102.15

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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.