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Finding the Fourth Proportional to 9,806.99, 13,533.54 and 7,300.31

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Solution

The fourth proportional to 9,806.99, 13,533.54 and 7,300.31 is: 10,074.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.99 : 13,533.54 = 7,300.31 : x
  2. Step 2: Convert to fraction form
    9,806.99/13,533.54 = 7,300.31/x
  3. Step 3: Cross multiply
    9,806.99x = 13,533.54 × 7,300.31
  4. Step 4: Simplify right side
    9,806.99x = 98,799,020.48
  5. Step 5: Solve for x
    x = 98,799,020.48/9,806.99
  6. Step 6: Final answer
    x = 10,074.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.