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Finding the Fourth Proportional to 9,633.30, 14,444.48 and 5,740.44

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Solution

The fourth proportional to 9,633.30, 14,444.48 and 5,740.44 is: 8,607.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.30 : 14,444.48 = 5,740.44 : x
  2. Step 2: Convert to fraction form
    9,633.30/14,444.48 = 5,740.44/x
  3. Step 3: Cross multiply
    9,633.30x = 14,444.48 × 5,740.44
  4. Step 4: Simplify right side
    9,633.30x = 82,917,598.67
  5. Step 5: Solve for x
    x = 82,917,598.67/9,633.30
  6. Step 6: Final answer
    x = 8,607.40

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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.