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Finding the Fourth Proportional to 9,524.98, 14,290.31 and 4,594.92

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Solution

The fourth proportional to 9,524.98, 14,290.31 and 4,594.92 is: 6,893.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524.98 : 14,290.31 = 4,594.92 : x
  2. Step 2: Convert to fraction form
    9,524.98/14,290.31 = 4,594.92/x
  3. Step 3: Cross multiply
    9,524.98x = 14,290.31 × 4,594.92
  4. Step 4: Simplify right side
    9,524.98x = 65,662,831.23
  5. Step 5: Solve for x
    x = 65,662,831.23/9,524.98
  6. Step 6: Final answer
    x = 6,893.75

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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.