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Finding the Fourth Proportional to 9,265, 12,788.10 and 5,541.16

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Solution

The fourth proportional to 9,265, 12,788.10 and 5,541.16 is: 7,648.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265 : 12,788.10 = 5,541.16 : x
  2. Step 2: Convert to fraction form
    9,265/12,788.10 = 5,541.16/x
  3. Step 3: Cross multiply
    9,265x = 12,788.10 × 5,541.16
  4. Step 4: Simplify right side
    9,265x = 70,860,908.20
  5. Step 5: Solve for x
    x = 70,860,908.20/9,265
  6. Step 6: Final answer
    x = 7,648.24

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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.