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Finding the Fourth Proportional to 9,458.82, 13,054.73 and 7,216.46

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Solution

The fourth proportional to 9,458.82, 13,054.73 and 7,216.46 is: 9,959.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458.82 : 13,054.73 = 7,216.46 : x
  2. Step 2: Convert to fraction form
    9,458.82/13,054.73 = 7,216.46/x
  3. Step 3: Cross multiply
    9,458.82x = 13,054.73 × 7,216.46
  4. Step 4: Simplify right side
    9,458.82x = 94,208,835.50
  5. Step 5: Solve for x
    x = 94,208,835.50/9,458.82
  6. Step 6: Final answer
    x = 9,959.89

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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.