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Finding the Fourth Proportional to 9,284.93, 12,817.55 and 6,300.89

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Solution

The fourth proportional to 9,284.93, 12,817.55 and 6,300.89 is: 8,698.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.93 : 12,817.55 = 6,300.89 : x
  2. Step 2: Convert to fraction form
    9,284.93/12,817.55 = 6,300.89/x
  3. Step 3: Cross multiply
    9,284.93x = 12,817.55 × 6,300.89
  4. Step 4: Simplify right side
    9,284.93x = 80,761,941.12
  5. Step 5: Solve for x
    x = 80,761,941.12/9,284.93
  6. Step 6: Final answer
    x = 8,698.17

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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.