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Finding the Fourth Proportional to 9,614.93, 13,267.47 and 5,580.83

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Solution

The fourth proportional to 9,614.93, 13,267.47 and 5,580.83 is: 7,700.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.93 : 13,267.47 = 5,580.83 : x
  2. Step 2: Convert to fraction form
    9,614.93/13,267.47 = 5,580.83/x
  3. Step 3: Cross multiply
    9,614.93x = 13,267.47 × 5,580.83
  4. Step 4: Simplify right side
    9,614.93x = 74,043,428.26
  5. Step 5: Solve for x
    x = 74,043,428.26/9,614.93
  6. Step 6: Final answer
    x = 7,700.88

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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.