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Finding the Fourth Proportional to 9,771.40, 14,665.30 and 4,228.98

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Solution

The fourth proportional to 9,771.40, 14,665.30 and 4,228.98 is: 6,347.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.40 : 14,665.30 = 4,228.98 : x
  2. Step 2: Convert to fraction form
    9,771.40/14,665.30 = 4,228.98/x
  3. Step 3: Cross multiply
    9,771.40x = 14,665.30 × 4,228.98
  4. Step 4: Simplify right side
    9,771.40x = 62,019,218.61
  5. Step 5: Solve for x
    x = 62,019,218.61/9,771.40
  6. Step 6: Final answer
    x = 6,347.01

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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.