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Finding the Fourth Proportional to 9,773.74, 14,658.18 and 4,437.46

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Solution

The fourth proportional to 9,773.74, 14,658.18 and 4,437.46 is: 6,655.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.74 : 14,658.18 = 4,437.46 : x
  2. Step 2: Convert to fraction form
    9,773.74/14,658.18 = 4,437.46/x
  3. Step 3: Cross multiply
    9,773.74x = 14,658.18 × 4,437.46
  4. Step 4: Simplify right side
    9,773.74x = 65,045,087.42
  5. Step 5: Solve for x
    x = 65,045,087.42/9,773.74
  6. Step 6: Final answer
    x = 6,655.09

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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.