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Finding the Fourth Proportional to 9,357.04, 12,912.72 and 5,165.29

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Solution

The fourth proportional to 9,357.04, 12,912.72 and 5,165.29 is: 7,128.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.04 : 12,912.72 = 5,165.29 : x
  2. Step 2: Convert to fraction form
    9,357.04/12,912.72 = 5,165.29/x
  3. Step 3: Cross multiply
    9,357.04x = 12,912.72 × 5,165.29
  4. Step 4: Simplify right side
    9,357.04x = 66,697,878.93
  5. Step 5: Solve for x
    x = 66,697,878.93/9,357.04
  6. Step 6: Final answer
    x = 7,128.10

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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.