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Finding the Fourth Proportional to 9,970.37, 14,942.49 and 5,037.33

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Solution

The fourth proportional to 9,970.37, 14,942.49 and 5,037.33 is: 7,549.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.37 : 14,942.49 = 5,037.33 : x
  2. Step 2: Convert to fraction form
    9,970.37/14,942.49 = 5,037.33/x
  3. Step 3: Cross multiply
    9,970.37x = 14,942.49 × 5,037.33
  4. Step 4: Simplify right side
    9,970.37x = 75,270,253.15
  5. Step 5: Solve for x
    x = 75,270,253.15/9,970.37
  6. Step 6: Final answer
    x = 7,549.40

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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.