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Finding the Fourth Proportional to 10,435.84, 14,404.18 and 6,454.64

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Solution

The fourth proportional to 10,435.84, 14,404.18 and 6,454.64 is: 8,909.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.84 : 14,404.18 = 6,454.64 : x
  2. Step 2: Convert to fraction form
    10,435.84/14,404.18 = 6,454.64/x
  3. Step 3: Cross multiply
    10,435.84x = 14,404.18 × 6,454.64
  4. Step 4: Simplify right side
    10,435.84x = 92,973,747.35
  5. Step 5: Solve for x
    x = 92,973,747.35/10,435.84
  6. Step 6: Final answer
    x = 8,909.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.