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Finding the Fourth Proportional to 6,415.02, 9,637.94 and 6,060.98

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Solution

The fourth proportional to 6,415.02, 9,637.94 and 6,060.98 is: 9,106.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.02 : 9,637.94 = 6,060.98 : x
  2. Step 2: Convert to fraction form
    6,415.02/9,637.94 = 6,060.98/x
  3. Step 3: Cross multiply
    6,415.02x = 9,637.94 × 6,060.98
  4. Step 4: Simplify right side
    6,415.02x = 58,415,400.83
  5. Step 5: Solve for x
    x = 58,415,400.83/6,415.02
  6. Step 6: Final answer
    x = 9,106.04

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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.