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Finding the Fourth Proportional to 9,762.96, 14,624.82 and 4,490.61

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Solution

The fourth proportional to 9,762.96, 14,624.82 and 4,490.61 is: 6,726.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.96 : 14,624.82 = 4,490.61 : x
  2. Step 2: Convert to fraction form
    9,762.96/14,624.82 = 4,490.61/x
  3. Step 3: Cross multiply
    9,762.96x = 14,624.82 × 4,490.61
  4. Step 4: Simplify right side
    9,762.96x = 65,674,394.69
  5. Step 5: Solve for x
    x = 65,674,394.69/9,762.96
  6. Step 6: Final answer
    x = 6,726.89

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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.