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Finding the Fourth Proportional to 6,312.06, 8,709.64 and 3,658.95

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Solution

The fourth proportional to 6,312.06, 8,709.64 and 3,658.95 is: 5,048.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.06 : 8,709.64 = 3,658.95 : x
  2. Step 2: Convert to fraction form
    6,312.06/8,709.64 = 3,658.95/x
  3. Step 3: Cross multiply
    6,312.06x = 8,709.64 × 3,658.95
  4. Step 4: Simplify right side
    6,312.06x = 31,868,128.13
  5. Step 5: Solve for x
    x = 31,868,128.13/6,312.06
  6. Step 6: Final answer
    x = 5,048.77

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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.