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Finding the Fourth Proportional to 9,762.66, 14,624.45 and 4,490.45

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Solution

The fourth proportional to 9,762.66, 14,624.45 and 4,490.45 is: 6,726.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.66 : 14,624.45 = 4,490.45 : x
  2. Step 2: Convert to fraction form
    9,762.66/14,624.45 = 4,490.45/x
  3. Step 3: Cross multiply
    9,762.66x = 14,624.45 × 4,490.45
  4. Step 4: Simplify right side
    9,762.66x = 65,670,361.50
  5. Step 5: Solve for x
    x = 65,670,361.50/9,762.66
  6. Step 6: Final answer
    x = 6,726.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.