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Finding the Fourth Proportional to 9,488.46, 14,235.30 and 4,562.22

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Solution

The fourth proportional to 9,488.46, 14,235.30 and 4,562.22 is: 6,844.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.46 : 14,235.30 = 4,562.22 : x
  2. Step 2: Convert to fraction form
    9,488.46/14,235.30 = 4,562.22/x
  3. Step 3: Cross multiply
    9,488.46x = 14,235.30 × 4,562.22
  4. Step 4: Simplify right side
    9,488.46x = 64,944,570.37
  5. Step 5: Solve for x
    x = 64,944,570.37/9,488.46
  6. Step 6: Final answer
    x = 6,844.58

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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.