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Finding the Fourth Proportional to 9,605.84, 13,258.12 and 6,066.80

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Solution

The fourth proportional to 9,605.84, 13,258.12 and 6,066.80 is: 8,373.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.84 : 13,258.12 = 6,066.80 : x
  2. Step 2: Convert to fraction form
    9,605.84/13,258.12 = 6,066.80/x
  3. Step 3: Cross multiply
    9,605.84x = 13,258.12 × 6,066.80
  4. Step 4: Simplify right side
    9,605.84x = 80,434,362.42
  5. Step 5: Solve for x
    x = 80,434,362.42/9,605.84
  6. Step 6: Final answer
    x = 8,373.49

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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.