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Finding the Fourth Proportional to 6,521.84, 9,780.44 and 2,360.77

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Solution

The fourth proportional to 6,521.84, 9,780.44 and 2,360.77 is: 3,540.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521.84 : 9,780.44 = 2,360.77 : x
  2. Step 2: Convert to fraction form
    6,521.84/9,780.44 = 2,360.77/x
  3. Step 3: Cross multiply
    6,521.84x = 9,780.44 × 2,360.77
  4. Step 4: Simplify right side
    6,521.84x = 23,089,308.63
  5. Step 5: Solve for x
    x = 23,089,308.63/6,521.84
  6. Step 6: Final answer
    x = 3,540.31

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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.