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Finding the Fourth Proportional to 9,411.64, 14,112.06 and 2,835.88

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Solution

The fourth proportional to 9,411.64, 14,112.06 and 2,835.88 is: 4,252.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.64 : 14,112.06 = 2,835.88 : x
  2. Step 2: Convert to fraction form
    9,411.64/14,112.06 = 2,835.88/x
  3. Step 3: Cross multiply
    9,411.64x = 14,112.06 × 2,835.88
  4. Step 4: Simplify right side
    9,411.64x = 40,020,108.71
  5. Step 5: Solve for x
    x = 40,020,108.71/9,411.64
  6. Step 6: Final answer
    x = 4,252.19

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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.