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Finding the Fourth Proportional to 9,053.52, 13,584.02 and 4,888.63

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Solution

The fourth proportional to 9,053.52, 13,584.02 and 4,888.63 is: 7,334.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,053.52 : 13,584.02 = 4,888.63 : x
  2. Step 2: Convert to fraction form
    9,053.52/13,584.02 = 4,888.63/x
  3. Step 3: Cross multiply
    9,053.52x = 13,584.02 × 4,888.63
  4. Step 4: Simplify right side
    9,053.52x = 66,407,191.32
  5. Step 5: Solve for x
    x = 66,407,191.32/9,053.52
  6. Step 6: Final answer
    x = 7,334.96

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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.