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Finding the Fourth Proportional to 8,894.40, 13,330.24 and 4,214.40

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Solution

The fourth proportional to 8,894.40, 13,330.24 and 4,214.40 is: 6,316.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,894.40 : 13,330.24 = 4,214.40 : x
  2. Step 2: Convert to fraction form
    8,894.40/13,330.24 = 4,214.40/x
  3. Step 3: Cross multiply
    8,894.40x = 13,330.24 × 4,214.40
  4. Step 4: Simplify right side
    8,894.40x = 56,178,963.46
  5. Step 5: Solve for x
    x = 56,178,963.46/8,894.40
  6. Step 6: Final answer
    x = 6,316.22

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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.