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Finding the Fourth Proportional to 9,470.39, 13,064.33 and 7,228.37

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Solution

The fourth proportional to 9,470.39, 13,064.33 and 7,228.37 is: 9,971.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.39 : 13,064.33 = 7,228.37 : x
  2. Step 2: Convert to fraction form
    9,470.39/13,064.33 = 7,228.37/x
  3. Step 3: Cross multiply
    9,470.39x = 13,064.33 × 7,228.37
  4. Step 4: Simplify right side
    9,470.39x = 94,433,774.90
  5. Step 5: Solve for x
    x = 94,433,774.90/9,470.39
  6. Step 6: Final answer
    x = 9,971.48

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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.