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Finding the Fourth Proportional to 9,575.54, 14,344.58 and 6,278.57

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Solution

The fourth proportional to 9,575.54, 14,344.58 and 6,278.57 is: 9,405.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,575.54 : 14,344.58 = 6,278.57 : x
  2. Step 2: Convert to fraction form
    9,575.54/14,344.58 = 6,278.57/x
  3. Step 3: Cross multiply
    9,575.54x = 14,344.58 × 6,278.57
  4. Step 4: Simplify right side
    9,575.54x = 90,063,393.62
  5. Step 5: Solve for x
    x = 90,063,393.62/9,575.54
  6. Step 6: Final answer
    x = 9,405.57

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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.