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Finding the Fourth Proportional to 6,945.95, 10,416.50 and 4,309.40

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Solution

The fourth proportional to 6,945.95, 10,416.50 and 4,309.40 is: 6,462.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945.95 : 10,416.50 = 4,309.40 : x
  2. Step 2: Convert to fraction form
    6,945.95/10,416.50 = 4,309.40/x
  3. Step 3: Cross multiply
    6,945.95x = 10,416.50 × 4,309.40
  4. Step 4: Simplify right side
    6,945.95x = 44,888,885.75
  5. Step 5: Solve for x
    x = 44,888,885.75/6,945.95
  6. Step 6: Final answer
    x = 6,462.60

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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.