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Finding the Fourth Proportional to 6,929.40, 9,564.06 and 4,241.58

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Solution

The fourth proportional to 6,929.40, 9,564.06 and 4,241.58 is: 5,854.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,929.40 : 9,564.06 = 4,241.58 : x
  2. Step 2: Convert to fraction form
    6,929.40/9,564.06 = 4,241.58/x
  3. Step 3: Cross multiply
    6,929.40x = 9,564.06 × 4,241.58
  4. Step 4: Simplify right side
    6,929.40x = 40,566,725.61
  5. Step 5: Solve for x
    x = 40,566,725.61/6,929.40
  6. Step 6: Final answer
    x = 5,854.29

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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.