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Finding the Fourth Proportional to 9,307.06, 12,843.58 and 5,115.22

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Solution

The fourth proportional to 9,307.06, 12,843.58 and 5,115.22 is: 7,058.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.06 : 12,843.58 = 5,115.22 : x
  2. Step 2: Convert to fraction form
    9,307.06/12,843.58 = 5,115.22/x
  3. Step 3: Cross multiply
    9,307.06x = 12,843.58 × 5,115.22
  4. Step 4: Simplify right side
    9,307.06x = 65,697,737.29
  5. Step 5: Solve for x
    x = 65,697,737.29/9,307.06
  6. Step 6: Final answer
    x = 7,058.91

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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.