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Finding the Fourth Proportional to 9,602.75, 14,406.05 and 4,056.08

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Solution

The fourth proportional to 9,602.75, 14,406.05 and 4,056.08 is: 6,084.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.75 : 14,406.05 = 4,056.08 : x
  2. Step 2: Convert to fraction form
    9,602.75/14,406.05 = 4,056.08/x
  3. Step 3: Cross multiply
    9,602.75x = 14,406.05 × 4,056.08
  4. Step 4: Simplify right side
    9,602.75x = 58,432,029.39
  5. Step 5: Solve for x
    x = 58,432,029.39/9,602.75
  6. Step 6: Final answer
    x = 6,084.93

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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.