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Finding the Fourth Proportional to 9,404.40, 14,106.60 and 8,464.80

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Solution

The fourth proportional to 9,404.40, 14,106.60 and 8,464.80 is: 12,697.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,404.40 : 14,106.60 = 8,464.80 : x
  2. Step 2: Convert to fraction form
    9,404.40/14,106.60 = 8,464.80/x
  3. Step 3: Cross multiply
    9,404.40x = 14,106.60 × 8,464.80
  4. Step 4: Simplify right side
    9,404.40x = 119,409,547.68
  5. Step 5: Solve for x
    x = 119,409,547.68/9,404.40
  6. Step 6: Final answer
    x = 12,697.20

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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.