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Finding the Fourth Proportional to 9,106.18, 13,665.75 and 7,028.26

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Solution

The fourth proportional to 9,106.18, 13,665.75 and 7,028.26 is: 10,547.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.18 : 13,665.75 = 7,028.26 : x
  2. Step 2: Convert to fraction form
    9,106.18/13,665.75 = 7,028.26/x
  3. Step 3: Cross multiply
    9,106.18x = 13,665.75 × 7,028.26
  4. Step 4: Simplify right side
    9,106.18x = 96,046,444.10
  5. Step 5: Solve for x
    x = 96,046,444.10/9,106.18
  6. Step 6: Final answer
    x = 10,547.39

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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.