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Finding the Fourth Proportional to 9,307.64, 12,847.93 and 6,164.84

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Solution

The fourth proportional to 9,307.64, 12,847.93 and 6,164.84 is: 8,509.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.64 : 12,847.93 = 6,164.84 : x
  2. Step 2: Convert to fraction form
    9,307.64/12,847.93 = 6,164.84/x
  3. Step 3: Cross multiply
    9,307.64x = 12,847.93 × 6,164.84
  4. Step 4: Simplify right side
    9,307.64x = 79,205,449.49
  5. Step 5: Solve for x
    x = 79,205,449.49/9,307.64
  6. Step 6: Final answer
    x = 8,509.72

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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.