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Finding the Fourth Proportional to 9,758.60, 13,466.88 and 6,223.86

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Solution

The fourth proportional to 9,758.60, 13,466.88 and 6,223.86 is: 8,588.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.60 : 13,466.88 = 6,223.86 : x
  2. Step 2: Convert to fraction form
    9,758.60/13,466.88 = 6,223.86/x
  3. Step 3: Cross multiply
    9,758.60x = 13,466.88 × 6,223.86
  4. Step 4: Simplify right side
    9,758.60x = 83,816,031.14
  5. Step 5: Solve for x
    x = 83,816,031.14/9,758.60
  6. Step 6: Final answer
    x = 8,588.94

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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.