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Finding the Fourth Proportional to 6,477.60, 9,698.58 and 4,912.98

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Solution

The fourth proportional to 6,477.60, 9,698.58 and 4,912.98 is: 7,355.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.60 : 9,698.58 = 4,912.98 : x
  2. Step 2: Convert to fraction form
    6,477.60/9,698.58 = 4,912.98/x
  3. Step 3: Cross multiply
    6,477.60x = 9,698.58 × 4,912.98
  4. Step 4: Simplify right side
    6,477.60x = 47,648,929.57
  5. Step 5: Solve for x
    x = 47,648,929.57/6,477.60
  6. Step 6: Final answer
    x = 7,355.95

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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.