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Finding the Fourth Proportional to 9,626.64, 13,285.65 and 5,848.93

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Solution

The fourth proportional to 9,626.64, 13,285.65 and 5,848.93 is: 8,072.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,626.64 : 13,285.65 = 5,848.93 : x
  2. Step 2: Convert to fraction form
    9,626.64/13,285.65 = 5,848.93/x
  3. Step 3: Cross multiply
    9,626.64x = 13,285.65 × 5,848.93
  4. Step 4: Simplify right side
    9,626.64x = 77,706,836.85
  5. Step 5: Solve for x
    x = 77,706,836.85/9,626.64
  6. Step 6: Final answer
    x = 8,072.06

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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.