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Finding the Fourth Proportional to 9,193.51, 12,682.95 and 6,128.05

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Solution

The fourth proportional to 9,193.51, 12,682.95 and 6,128.05 is: 8,453.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.51 : 12,682.95 = 6,128.05 : x
  2. Step 2: Convert to fraction form
    9,193.51/12,682.95 = 6,128.05/x
  3. Step 3: Cross multiply
    9,193.51x = 12,682.95 × 6,128.05
  4. Step 4: Simplify right side
    9,193.51x = 77,721,751.75
  5. Step 5: Solve for x
    x = 77,721,751.75/9,193.51
  6. Step 6: Final answer
    x = 8,453.98

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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.