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Finding the Fourth Proportional to 9,594.64, 13,240.93 and 5,616.12

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Solution

The fourth proportional to 9,594.64, 13,240.93 and 5,616.12 is: 7,750.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.64 : 13,240.93 = 5,616.12 : x
  2. Step 2: Convert to fraction form
    9,594.64/13,240.93 = 5,616.12/x
  3. Step 3: Cross multiply
    9,594.64x = 13,240.93 × 5,616.12
  4. Step 4: Simplify right side
    9,594.64x = 74,362,651.79
  5. Step 5: Solve for x
    x = 74,362,651.79/9,594.64
  6. Step 6: Final answer
    x = 7,750.44

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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.