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Finding the Fourth Proportional to 9,407.59, 14,101.51 and 3,165.44

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Solution

The fourth proportional to 9,407.59, 14,101.51 and 3,165.44 is: 4,744.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.59 : 14,101.51 = 3,165.44 : x
  2. Step 2: Convert to fraction form
    9,407.59/14,101.51 = 3,165.44/x
  3. Step 3: Cross multiply
    9,407.59x = 14,101.51 × 3,165.44
  4. Step 4: Simplify right side
    9,407.59x = 44,637,437.77
  5. Step 5: Solve for x
    x = 44,637,437.77/9,407.59
  6. Step 6: Final answer
    x = 4,744.83

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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.