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Finding the Fourth Proportional to 9,206.64, 12,703.20 and 6,024.60

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Solution

The fourth proportional to 9,206.64, 12,703.20 and 6,024.60 is: 8,312.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.64 : 12,703.20 = 6,024.60 : x
  2. Step 2: Convert to fraction form
    9,206.64/12,703.20 = 6,024.60/x
  3. Step 3: Cross multiply
    9,206.64x = 12,703.20 × 6,024.60
  4. Step 4: Simplify right side
    9,206.64x = 76,531,698.72
  5. Step 5: Solve for x
    x = 76,531,698.72/9,206.64
  6. Step 6: Final answer
    x = 8,312.66

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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.