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Finding the Fourth Proportional to 9,471.83, 13,070.90 and 5,493.30

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Solution

The fourth proportional to 9,471.83, 13,070.90 and 5,493.30 is: 7,580.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.83 : 13,070.90 = 5,493.30 : x
  2. Step 2: Convert to fraction form
    9,471.83/13,070.90 = 5,493.30/x
  3. Step 3: Cross multiply
    9,471.83x = 13,070.90 × 5,493.30
  4. Step 4: Simplify right side
    9,471.83x = 71,802,347.50
  5. Step 5: Solve for x
    x = 71,802,347.50/9,471.83
  6. Step 6: Final answer
    x = 7,580.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.