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Finding the Fourth Proportional to 9,151.93, 12,620.23 and 7,830.01

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Solution

The fourth proportional to 9,151.93, 12,620.23 and 7,830.01 is: 10,797.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.93 : 12,620.23 = 7,830.01 : x
  2. Step 2: Convert to fraction form
    9,151.93/12,620.23 = 7,830.01/x
  3. Step 3: Cross multiply
    9,151.93x = 12,620.23 × 7,830.01
  4. Step 4: Simplify right side
    9,151.93x = 98,816,527.10
  5. Step 5: Solve for x
    x = 98,816,527.10/9,151.93
  6. Step 6: Final answer
    x = 10,797.34

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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.