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Finding the Fourth Proportional to 9,477.64, 13,079.11 and 5,285.89

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Solution

The fourth proportional to 9,477.64, 13,079.11 and 5,285.89 is: 7,294.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.64 : 13,079.11 = 5,285.89 : x
  2. Step 2: Convert to fraction form
    9,477.64/13,079.11 = 5,285.89/x
  3. Step 3: Cross multiply
    9,477.64x = 13,079.11 × 5,285.89
  4. Step 4: Simplify right side
    9,477.64x = 69,134,736.76
  5. Step 5: Solve for x
    x = 69,134,736.76/9,477.64
  6. Step 6: Final answer
    x = 7,294.51

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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.