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Finding the Fourth Proportional to 9,684.19, 14,534.07 and 5,005.57

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Solution

The fourth proportional to 9,684.19, 14,534.07 and 5,005.57 is: 7,512.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.19 : 14,534.07 = 5,005.57 : x
  2. Step 2: Convert to fraction form
    9,684.19/14,534.07 = 5,005.57/x
  3. Step 3: Cross multiply
    9,684.19x = 14,534.07 × 5,005.57
  4. Step 4: Simplify right side
    9,684.19x = 72,751,370.25
  5. Step 5: Solve for x
    x = 72,751,370.25/9,684.19
  6. Step 6: Final answer
    x = 7,512.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.