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Finding the Fourth Proportional to 10,423.95, 14,381.93 and 6,446.34

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Solution

The fourth proportional to 10,423.95, 14,381.93 and 6,446.34 is: 8,894.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,423.95 : 14,381.93 = 6,446.34 : x
  2. Step 2: Convert to fraction form
    10,423.95/14,381.93 = 6,446.34/x
  3. Step 3: Cross multiply
    10,423.95x = 14,381.93 × 6,446.34
  4. Step 4: Simplify right side
    10,423.95x = 92,710,778.40
  5. Step 5: Solve for x
    x = 92,710,778.40/10,423.95
  6. Step 6: Final answer
    x = 8,894.02

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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.