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Finding the Fourth Proportional to 9,562.40, 14,335.09 and 3,717.64

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Solution

The fourth proportional to 9,562.40, 14,335.09 and 3,717.64 is: 5,573.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,562.40 : 14,335.09 = 3,717.64 : x
  2. Step 2: Convert to fraction form
    9,562.40/14,335.09 = 3,717.64/x
  3. Step 3: Cross multiply
    9,562.40x = 14,335.09 × 3,717.64
  4. Step 4: Simplify right side
    9,562.40x = 53,292,703.99
  5. Step 5: Solve for x
    x = 53,292,703.99/9,562.40
  6. Step 6: Final answer
    x = 5,573.15

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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.