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Finding the Fourth Proportional to 6,258.40, 9,384.60 and 2,306.95

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Solution

The fourth proportional to 6,258.40, 9,384.60 and 2,306.95 is: 3,459.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,258.40 : 9,384.60 = 2,306.95 : x
  2. Step 2: Convert to fraction form
    6,258.40/9,384.60 = 2,306.95/x
  3. Step 3: Cross multiply
    6,258.40x = 9,384.60 × 2,306.95
  4. Step 4: Simplify right side
    6,258.40x = 21,649,802.97
  5. Step 5: Solve for x
    x = 21,649,802.97/6,258.40
  6. Step 6: Final answer
    x = 3,459.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.