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Finding the Fourth Proportional to 9,816.80, 14,715.60 and 5,139.20

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Solution

The fourth proportional to 9,816.80, 14,715.60 and 5,139.20 is: 7,703.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,816.80 : 14,715.60 = 5,139.20 : x
  2. Step 2: Convert to fraction form
    9,816.80/14,715.60 = 5,139.20/x
  3. Step 3: Cross multiply
    9,816.80x = 14,715.60 × 5,139.20
  4. Step 4: Simplify right side
    9,816.80x = 75,626,411.52
  5. Step 5: Solve for x
    x = 75,626,411.52/9,816.80
  6. Step 6: Final answer
    x = 7,703.77

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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.