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Finding the Fourth Proportional to 9,052.88, 13,570.82 and 4,669.16

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Solution

The fourth proportional to 9,052.88, 13,570.82 and 4,669.16 is: 6,999.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,052.88 : 13,570.82 = 4,669.16 : x
  2. Step 2: Convert to fraction form
    9,052.88/13,570.82 = 4,669.16/x
  3. Step 3: Cross multiply
    9,052.88x = 13,570.82 × 4,669.16
  4. Step 4: Simplify right side
    9,052.88x = 63,364,329.91
  5. Step 5: Solve for x
    x = 63,364,329.91/9,052.88
  6. Step 6: Final answer
    x = 6,999.36

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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.