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Finding the Fourth Proportional to 9,083.63, 12,537.78 and 5,106.02

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Solution

The fourth proportional to 9,083.63, 12,537.78 and 5,106.02 is: 7,047.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,083.63 : 12,537.78 = 5,106.02 : x
  2. Step 2: Convert to fraction form
    9,083.63/12,537.78 = 5,106.02/x
  3. Step 3: Cross multiply
    9,083.63x = 12,537.78 × 5,106.02
  4. Step 4: Simplify right side
    9,083.63x = 64,018,155.44
  5. Step 5: Solve for x
    x = 64,018,155.44/9,083.63
  6. Step 6: Final answer
    x = 7,047.64

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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.