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Finding the Fourth Proportional to 9,412.59, 12,987.99 and 5,634.96

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Solution

The fourth proportional to 9,412.59, 12,987.99 and 5,634.96 is: 7,775.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.59 : 12,987.99 = 5,634.96 : x
  2. Step 2: Convert to fraction form
    9,412.59/12,987.99 = 5,634.96/x
  3. Step 3: Cross multiply
    9,412.59x = 12,987.99 × 5,634.96
  4. Step 4: Simplify right side
    9,412.59x = 73,186,804.13
  5. Step 5: Solve for x
    x = 73,186,804.13/9,412.59
  6. Step 6: Final answer
    x = 7,775.42

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1.5x scale

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.