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Finding the Fourth Proportional to 9,728.45, 14,598.57 and 3,884.57

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Solution

The fourth proportional to 9,728.45, 14,598.57 and 3,884.57 is: 5,829.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.45 : 14,598.57 = 3,884.57 : x
  2. Step 2: Convert to fraction form
    9,728.45/14,598.57 = 3,884.57/x
  3. Step 3: Cross multiply
    9,728.45x = 14,598.57 × 3,884.57
  4. Step 4: Simplify right side
    9,728.45x = 56,709,094.07
  5. Step 5: Solve for x
    x = 56,709,094.07/9,728.45
  6. Step 6: Final answer
    x = 5,829.20

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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.