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Finding the Fourth Proportional to 9,676.20, 13,341.88 and 7,314.24

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Solution

The fourth proportional to 9,676.20, 13,341.88 and 7,314.24 is: 10,085.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.20 : 13,341.88 = 7,314.24 : x
  2. Step 2: Convert to fraction form
    9,676.20/13,341.88 = 7,314.24/x
  3. Step 3: Cross multiply
    9,676.20x = 13,341.88 × 7,314.24
  4. Step 4: Simplify right side
    9,676.20x = 97,585,712.37
  5. Step 5: Solve for x
    x = 97,585,712.37/9,676.20
  6. Step 6: Final answer
    x = 10,085.13

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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.