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Finding the Fourth Proportional to 9,117.40, 13,676.10 and 5,219.06

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Solution

The fourth proportional to 9,117.40, 13,676.10 and 5,219.06 is: 7,828.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.40 : 13,676.10 = 5,219.06 : x
  2. Step 2: Convert to fraction form
    9,117.40/13,676.10 = 5,219.06/x
  3. Step 3: Cross multiply
    9,117.40x = 13,676.10 × 5,219.06
  4. Step 4: Simplify right side
    9,117.40x = 71,376,386.47
  5. Step 5: Solve for x
    x = 71,376,386.47/9,117.40
  6. Step 6: Final answer
    x = 7,828.59

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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.