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Finding the Fourth Proportional to 9,031.60, 12,467.62 and 5,804.83

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Solution

The fourth proportional to 9,031.60, 12,467.62 and 5,804.83 is: 8,013.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031.60 : 12,467.62 = 5,804.83 : x
  2. Step 2: Convert to fraction form
    9,031.60/12,467.62 = 5,804.83/x
  3. Step 3: Cross multiply
    9,031.60x = 12,467.62 × 5,804.83
  4. Step 4: Simplify right side
    9,031.60x = 72,372,437.45
  5. Step 5: Solve for x
    x = 72,372,437.45/9,031.60
  6. Step 6: Final answer
    x = 8,013.25

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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.