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Finding the Fourth Proportional to 9,471.12, 13,070.58 and 5,493.48

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Solution

The fourth proportional to 9,471.12, 13,070.58 and 5,493.48 is: 7,581.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.12 : 13,070.58 = 5,493.48 : x
  2. Step 2: Convert to fraction form
    9,471.12/13,070.58 = 5,493.48/x
  3. Step 3: Cross multiply
    9,471.12x = 13,070.58 × 5,493.48
  4. Step 4: Simplify right side
    9,471.12x = 71,802,969.82
  5. Step 5: Solve for x
    x = 71,802,969.82/9,471.12
  6. Step 6: Final answer
    x = 7,581.25

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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.