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Finding the Fourth Proportional to 9,758.50, 13,466.73 and 5,566.66

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Solution

The fourth proportional to 9,758.50, 13,466.73 and 5,566.66 is: 7,681.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.50 : 13,466.73 = 5,566.66 : x
  2. Step 2: Convert to fraction form
    9,758.50/13,466.73 = 5,566.66/x
  3. Step 3: Cross multiply
    9,758.50x = 13,466.73 × 5,566.66
  4. Step 4: Simplify right side
    9,758.50x = 74,964,707.22
  5. Step 5: Solve for x
    x = 74,964,707.22/9,758.50
  6. Step 6: Final answer
    x = 7,681.99

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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.