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Finding the Fourth Proportional to 10,435.94, 14,403.08 and 6,458.34

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Solution

The fourth proportional to 10,435.94, 14,403.08 and 6,458.34 is: 8,913.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.94 : 14,403.08 = 6,458.34 : x
  2. Step 2: Convert to fraction form
    10,435.94/14,403.08 = 6,458.34/x
  3. Step 3: Cross multiply
    10,435.94x = 14,403.08 × 6,458.34
  4. Step 4: Simplify right side
    10,435.94x = 93,019,913.49
  5. Step 5: Solve for x
    x = 93,019,913.49/10,435.94
  6. Step 6: Final answer
    x = 8,913.42

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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.