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Finding the Fourth Proportional to 9,186.58, 13,804.71 and 4,807.27

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Solution

The fourth proportional to 9,186.58, 13,804.71 and 4,807.27 is: 7,223.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.58 : 13,804.71 = 4,807.27 : x
  2. Step 2: Convert to fraction form
    9,186.58/13,804.71 = 4,807.27/x
  3. Step 3: Cross multiply
    9,186.58x = 13,804.71 × 4,807.27
  4. Step 4: Simplify right side
    9,186.58x = 66,362,968.24
  5. Step 5: Solve for x
    x = 66,362,968.24/9,186.58
  6. Step 6: Final answer
    x = 7,223.90

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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.