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Finding the Fourth Proportional to 9,280.16, 13,924.70 and 4,600.60

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Solution

The fourth proportional to 9,280.16, 13,924.70 and 4,600.60 is: 6,903.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280.16 : 13,924.70 = 4,600.60 : x
  2. Step 2: Convert to fraction form
    9,280.16/13,924.70 = 4,600.60/x
  3. Step 3: Cross multiply
    9,280.16x = 13,924.70 × 4,600.60
  4. Step 4: Simplify right side
    9,280.16x = 64,061,974.82
  5. Step 5: Solve for x
    x = 64,061,974.82/9,280.16
  6. Step 6: Final answer
    x = 6,903.11

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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.