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Finding the Fourth Proportional to 6,894.18, 10,337.63 and 6,354.72

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Solution

The fourth proportional to 6,894.18, 10,337.63 and 6,354.72 is: 9,528.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.18 : 10,337.63 = 6,354.72 : x
  2. Step 2: Convert to fraction form
    6,894.18/10,337.63 = 6,354.72/x
  3. Step 3: Cross multiply
    6,894.18x = 10,337.63 × 6,354.72
  4. Step 4: Simplify right side
    6,894.18x = 65,692,712.34
  5. Step 5: Solve for x
    x = 65,692,712.34/6,894.18
  6. Step 6: Final answer
    x = 9,528.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.