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Finding the Fourth Proportional to 9,088.68, 12,542.38 and 5,109.80

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Solution

The fourth proportional to 9,088.68, 12,542.38 and 5,109.80 is: 7,051.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,088.68 : 12,542.38 = 5,109.80 : x
  2. Step 2: Convert to fraction form
    9,088.68/12,542.38 = 5,109.80/x
  3. Step 3: Cross multiply
    9,088.68x = 12,542.38 × 5,109.80
  4. Step 4: Simplify right side
    9,088.68x = 64,089,053.32
  5. Step 5: Solve for x
    x = 64,089,053.32/9,088.68
  6. Step 6: Final answer
    x = 7,051.52

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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.