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Finding the Fourth Proportional to 9,497.32, 14,245.98 and 2,572.84

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Solution

The fourth proportional to 9,497.32, 14,245.98 and 2,572.84 is: 3,859.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.32 : 14,245.98 = 2,572.84 : x
  2. Step 2: Convert to fraction form
    9,497.32/14,245.98 = 2,572.84/x
  3. Step 3: Cross multiply
    9,497.32x = 14,245.98 × 2,572.84
  4. Step 4: Simplify right side
    9,497.32x = 36,652,627.18
  5. Step 5: Solve for x
    x = 36,652,627.18/9,497.32
  6. Step 6: Final answer
    x = 3,859.26

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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.