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Finding the Fourth Proportional to 9,633.10, 14,461.80 and 5,194.30

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Solution

The fourth proportional to 9,633.10, 14,461.80 and 5,194.30 is: 7,798.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.10 : 14,461.80 = 5,194.30 : x
  2. Step 2: Convert to fraction form
    9,633.10/14,461.80 = 5,194.30/x
  3. Step 3: Cross multiply
    9,633.10x = 14,461.80 × 5,194.30
  4. Step 4: Simplify right side
    9,633.10x = 75,118,927.74
  5. Step 5: Solve for x
    x = 75,118,927.74/9,633.10
  6. Step 6: Final answer
    x = 7,798.00

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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.