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Finding the Fourth Proportional to 9,806.54, 14,696.78 and 5,130.54

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Solution

The fourth proportional to 9,806.54, 14,696.78 and 5,130.54 is: 7,688.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.54 : 14,696.78 = 5,130.54 : x
  2. Step 2: Convert to fraction form
    9,806.54/14,696.78 = 5,130.54/x
  3. Step 3: Cross multiply
    9,806.54x = 14,696.78 × 5,130.54
  4. Step 4: Simplify right side
    9,806.54x = 75,402,392.01
  5. Step 5: Solve for x
    x = 75,402,392.01/9,806.54
  6. Step 6: Final answer
    x = 7,688.99

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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.