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Finding the Fourth Proportional to 9,594.31, 14,393.52 and 3,021.01

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Solution

The fourth proportional to 9,594.31, 14,393.52 and 3,021.01 is: 4,532.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.31 : 14,393.52 = 3,021.01 : x
  2. Step 2: Convert to fraction form
    9,594.31/14,393.52 = 3,021.01/x
  3. Step 3: Cross multiply
    9,594.31x = 14,393.52 × 3,021.01
  4. Step 4: Simplify right side
    9,594.31x = 43,482,967.86
  5. Step 5: Solve for x
    x = 43,482,967.86/9,594.31
  6. Step 6: Final answer
    x = 4,532.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.