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Finding the Fourth Proportional to 9,661.75, 13,333.22 and 5,470

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Solution

The fourth proportional to 9,661.75, 13,333.22 and 5,470 is: 7,548.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.75 : 13,333.22 = 5,470 : x
  2. Step 2: Convert to fraction form
    9,661.75/13,333.22 = 5,470/x
  3. Step 3: Cross multiply
    9,661.75x = 13,333.22 × 5,470
  4. Step 4: Simplify right side
    9,661.75x = 72,932,686.05
  5. Step 5: Solve for x
    x = 72,932,686.05/9,661.75
  6. Step 6: Final answer
    x = 7,548.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.