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Finding the Fourth Proportional to 9,381.43, 12,946.35 and 5,403.34

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Solution

The fourth proportional to 9,381.43, 12,946.35 and 5,403.34 is: 7,456.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381.43 : 12,946.35 = 5,403.34 : x
  2. Step 2: Convert to fraction form
    9,381.43/12,946.35 = 5,403.34/x
  3. Step 3: Cross multiply
    9,381.43x = 12,946.35 × 5,403.34
  4. Step 4: Simplify right side
    9,381.43x = 69,953,530.81
  5. Step 5: Solve for x
    x = 69,953,530.81/9,381.43
  6. Step 6: Final answer
    x = 7,456.60

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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.