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Finding the Fourth Proportional to 30,376.41, 45,566.00 and 9,314.91

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Solution

The fourth proportional to 30,376.41, 45,566.00 and 9,314.91 is: 13,972.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,376.41 : 45,566.00 = 9,314.91 : x
  2. Step 2: Convert to fraction form
    30,376.41/45,566.00 = 9,314.91/x
  3. Step 3: Cross multiply
    30,376.41x = 45,566.00 × 9,314.91
  4. Step 4: Simplify right side
    30,376.41x = 424,443,142.49
  5. Step 5: Solve for x
    x = 424,443,142.49/30,376.41
  6. Step 6: Final answer
    x = 13,972.79

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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.