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Finding the Fourth Proportional to 9,674.74, 13,346.62 and 6,088.06

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Solution

The fourth proportional to 9,674.74, 13,346.62 and 6,088.06 is: 8,398.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.74 : 13,346.62 = 6,088.06 : x
  2. Step 2: Convert to fraction form
    9,674.74/13,346.62 = 6,088.06/x
  3. Step 3: Cross multiply
    9,674.74x = 13,346.62 × 6,088.06
  4. Step 4: Simplify right side
    9,674.74x = 81,255,059.07
  5. Step 5: Solve for x
    x = 81,255,059.07/9,674.74
  6. Step 6: Final answer
    x = 8,398.68

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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.