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Finding the Fourth Proportional to 10,381.22, 14,323.88 and 6,603

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Solution

The fourth proportional to 10,381.22, 14,323.88 and 6,603 is: 9,110.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.22 : 14,323.88 = 6,603 : x
  2. Step 2: Convert to fraction form
    10,381.22/14,323.88 = 6,603/x
  3. Step 3: Cross multiply
    10,381.22x = 14,323.88 × 6,603
  4. Step 4: Simplify right side
    10,381.22x = 94,580,546.63
  5. Step 5: Solve for x
    x = 94,580,546.63/10,381.22
  6. Step 6: Final answer
    x = 9,110.74

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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.