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Finding the Fourth Proportional to 9,403.98, 14,106.68 and 3,164.01

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Solution

The fourth proportional to 9,403.98, 14,106.68 and 3,164.01 is: 4,746.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,403.98 : 14,106.68 = 3,164.01 : x
  2. Step 2: Convert to fraction form
    9,403.98/14,106.68 = 3,164.01/x
  3. Step 3: Cross multiply
    9,403.98x = 14,106.68 × 3,164.01
  4. Step 4: Simplify right side
    9,403.98x = 44,633,660.77
  5. Step 5: Solve for x
    x = 44,633,660.77/9,403.98
  6. Step 6: Final answer
    x = 4,746.25

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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.