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Finding the Fourth Proportional to 9,970.20, 14,967.45 and 5,037.30

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Solution

The fourth proportional to 9,970.20, 14,967.45 and 5,037.30 is: 7,562.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.20 : 14,967.45 = 5,037.30 : x
  2. Step 2: Convert to fraction form
    9,970.20/14,967.45 = 5,037.30/x
  3. Step 3: Cross multiply
    9,970.20x = 14,967.45 × 5,037.30
  4. Step 4: Simplify right side
    9,970.20x = 75,395,535.89
  5. Step 5: Solve for x
    x = 75,395,535.89/9,970.20
  6. Step 6: Final answer
    x = 7,562.09

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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.