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Finding the Fourth Proportional to 7,023.19, 9,694.04 and 4,634.91

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Solution

The fourth proportional to 7,023.19, 9,694.04 and 4,634.91 is: 6,397.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.19 : 9,694.04 = 4,634.91 : x
  2. Step 2: Convert to fraction form
    7,023.19/9,694.04 = 4,634.91/x
  3. Step 3: Cross multiply
    7,023.19x = 9,694.04 × 4,634.91
  4. Step 4: Simplify right side
    7,023.19x = 44,931,002.94
  5. Step 5: Solve for x
    x = 44,931,002.94/7,023.19
  6. Step 6: Final answer
    x = 6,397.52

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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.