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Finding the Fourth Proportional to 9,780.64, 14,649.72 and 6,020.96

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Solution

The fourth proportional to 9,780.64, 14,649.72 and 6,020.96 is: 9,018.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.64 : 14,649.72 = 6,020.96 : x
  2. Step 2: Convert to fraction form
    9,780.64/14,649.72 = 6,020.96/x
  3. Step 3: Cross multiply
    9,780.64x = 14,649.72 × 6,020.96
  4. Step 4: Simplify right side
    9,780.64x = 88,205,378.13
  5. Step 5: Solve for x
    x = 88,205,378.13/9,780.64
  6. Step 6: Final answer
    x = 9,018.36

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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.