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Finding the Fourth Proportional to 9,977.60, 14,966.40 and 7,644.80

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Solution

The fourth proportional to 9,977.60, 14,966.40 and 7,644.80 is: 11,467.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.60 : 14,966.40 = 7,644.80 : x
  2. Step 2: Convert to fraction form
    9,977.60/14,966.40 = 7,644.80/x
  3. Step 3: Cross multiply
    9,977.60x = 14,966.40 × 7,644.80
  4. Step 4: Simplify right side
    9,977.60x = 114,415,134.72
  5. Step 5: Solve for x
    x = 114,415,134.72/9,977.60
  6. Step 6: Final answer
    x = 11,467.20

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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.