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Finding the Fourth Proportional to 6,909.34, 9,542.88 and 5,029.35

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Solution

The fourth proportional to 6,909.34, 9,542.88 and 5,029.35 is: 6,946.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.34 : 9,542.88 = 5,029.35 : x
  2. Step 2: Convert to fraction form
    6,909.34/9,542.88 = 5,029.35/x
  3. Step 3: Cross multiply
    6,909.34x = 9,542.88 × 5,029.35
  4. Step 4: Simplify right side
    6,909.34x = 47,994,483.53
  5. Step 5: Solve for x
    x = 47,994,483.53/6,909.34
  6. Step 6: Final answer
    x = 6,946.32

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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.