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Finding the Fourth Proportional to 9,750.36, 14,626.80 and 4,816.20

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Solution

The fourth proportional to 9,750.36, 14,626.80 and 4,816.20 is: 7,224.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.36 : 14,626.80 = 4,816.20 : x
  2. Step 2: Convert to fraction form
    9,750.36/14,626.80 = 4,816.20/x
  3. Step 3: Cross multiply
    9,750.36x = 14,626.80 × 4,816.20
  4. Step 4: Simplify right side
    9,750.36x = 70,445,594.16
  5. Step 5: Solve for x
    x = 70,445,594.16/9,750.36
  6. Step 6: Final answer
    x = 7,224.92

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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.