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Finding the Fourth Proportional to 9,216.40, 12,714.01 and 5,853.73

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Solution

The fourth proportional to 9,216.40, 12,714.01 and 5,853.73 is: 8,075.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216.40 : 12,714.01 = 5,853.73 : x
  2. Step 2: Convert to fraction form
    9,216.40/12,714.01 = 5,853.73/x
  3. Step 3: Cross multiply
    9,216.40x = 12,714.01 × 5,853.73
  4. Step 4: Simplify right side
    9,216.40x = 74,424,381.76
  5. Step 5: Solve for x
    x = 74,424,381.76/9,216.40
  6. Step 6: Final answer
    x = 8,075.21

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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.