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Finding the Fourth Proportional to 9,467.66, 13,064.76 and 5,488.46

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Solution

The fourth proportional to 9,467.66, 13,064.76 and 5,488.46 is: 7,573.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,467.66 : 13,064.76 = 5,488.46 : x
  2. Step 2: Convert to fraction form
    9,467.66/13,064.76 = 5,488.46/x
  3. Step 3: Cross multiply
    9,467.66x = 13,064.76 × 5,488.46
  4. Step 4: Simplify right side
    9,467.66x = 71,705,412.67
  5. Step 5: Solve for x
    x = 71,705,412.67/9,467.66
  6. Step 6: Final answer
    x = 7,573.72

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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.