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Finding the Fourth Proportional to 9,881.42, 14,822.06 and 4,033.93

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Solution

The fourth proportional to 9,881.42, 14,822.06 and 4,033.93 is: 6,050.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881.42 : 14,822.06 = 4,033.93 : x
  2. Step 2: Convert to fraction form
    9,881.42/14,822.06 = 4,033.93/x
  3. Step 3: Cross multiply
    9,881.42x = 14,822.06 × 4,033.93
  4. Step 4: Simplify right side
    9,881.42x = 59,791,152.50
  5. Step 5: Solve for x
    x = 59,791,152.50/9,881.42
  6. Step 6: Final answer
    x = 6,050.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.