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Finding the Fourth Proportional to 6,470.08, 8,927.64 and 3,675.04

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Solution

The fourth proportional to 6,470.08, 8,927.64 and 3,675.04 is: 5,070.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.08 : 8,927.64 = 3,675.04 : x
  2. Step 2: Convert to fraction form
    6,470.08/8,927.64 = 3,675.04/x
  3. Step 3: Cross multiply
    6,470.08x = 8,927.64 × 3,675.04
  4. Step 4: Simplify right side
    6,470.08x = 32,809,434.11
  5. Step 5: Solve for x
    x = 32,809,434.11/6,470.08
  6. Step 6: Final answer
    x = 5,070.95

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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.