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Finding the Fourth Proportional to 9,808.02, 14,703.76 and 4,257.20

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Solution

The fourth proportional to 9,808.02, 14,703.76 and 4,257.20 is: 6,382.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.02 : 14,703.76 = 4,257.20 : x
  2. Step 2: Convert to fraction form
    9,808.02/14,703.76 = 4,257.20/x
  3. Step 3: Cross multiply
    9,808.02x = 14,703.76 × 4,257.20
  4. Step 4: Simplify right side
    9,808.02x = 62,596,847.07
  5. Step 5: Solve for x
    x = 62,596,847.07/9,808.02
  6. Step 6: Final answer
    x = 6,382.21

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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.