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Finding the Fourth Proportional to 9,684.23, 13,368.67 and 7,445.33

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Solution

The fourth proportional to 9,684.23, 13,368.67 and 7,445.33 is: 10,277.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.23 : 13,368.67 = 7,445.33 : x
  2. Step 2: Convert to fraction form
    9,684.23/13,368.67 = 7,445.33/x
  3. Step 3: Cross multiply
    9,684.23x = 13,368.67 × 7,445.33
  4. Step 4: Simplify right side
    9,684.23x = 99,534,074.35
  5. Step 5: Solve for x
    x = 99,534,074.35/9,684.23
  6. Step 6: Final answer
    x = 10,277.95

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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.