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Finding the Fourth Proportional to 9,288.58, 12,804.06 and 5,696.89

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Solution

The fourth proportional to 9,288.58, 12,804.06 and 5,696.89 is: 7,853.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288.58 : 12,804.06 = 5,696.89 : x
  2. Step 2: Convert to fraction form
    9,288.58/12,804.06 = 5,696.89/x
  3. Step 3: Cross multiply
    9,288.58x = 12,804.06 × 5,696.89
  4. Step 4: Simplify right side
    9,288.58x = 72,943,321.37
  5. Step 5: Solve for x
    x = 72,943,321.37/9,288.58
  6. Step 6: Final answer
    x = 7,853.01

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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.