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Finding the Fourth Proportional to 6,548.40, 9,807.12 and 4,986.52

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Solution

The fourth proportional to 6,548.40, 9,807.12 and 4,986.52 is: 7,467.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.40 : 9,807.12 = 4,986.52 : x
  2. Step 2: Convert to fraction form
    6,548.40/9,807.12 = 4,986.52/x
  3. Step 3: Cross multiply
    6,548.40x = 9,807.12 × 4,986.52
  4. Step 4: Simplify right side
    6,548.40x = 48,903,400.02
  5. Step 5: Solve for x
    x = 48,903,400.02/6,548.40
  6. Step 6: Final answer
    x = 7,467.99

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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.