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Finding the Fourth Proportional to 9,053.76, 13,581.90 and 4,124.64

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Solution

The fourth proportional to 9,053.76, 13,581.90 and 4,124.64 is: 6,187.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,053.76 : 13,581.90 = 4,124.64 : x
  2. Step 2: Convert to fraction form
    9,053.76/13,581.90 = 4,124.64/x
  3. Step 3: Cross multiply
    9,053.76x = 13,581.90 × 4,124.64
  4. Step 4: Simplify right side
    9,053.76x = 56,020,448.02
  5. Step 5: Solve for x
    x = 56,020,448.02/9,053.76
  6. Step 6: Final answer
    x = 6,187.53

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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.