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Finding the Fourth Proportional to 9,674.63, 14,498.04 and 7,444.80

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Solution

The fourth proportional to 9,674.63, 14,498.04 and 7,444.80 is: 11,156.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.63 : 14,498.04 = 7,444.80 : x
  2. Step 2: Convert to fraction form
    9,674.63/14,498.04 = 7,444.80/x
  3. Step 3: Cross multiply
    9,674.63x = 14,498.04 × 7,444.80
  4. Step 4: Simplify right side
    9,674.63x = 107,935,008.19
  5. Step 5: Solve for x
    x = 107,935,008.19/9,674.63
  6. Step 6: Final answer
    x = 11,156.51

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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.