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Finding the Fourth Proportional to 9,435.16, 13,018.14 and 6,289.24

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Solution

The fourth proportional to 9,435.16, 13,018.14 and 6,289.24 is: 8,677.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,435.16 : 13,018.14 = 6,289.24 : x
  2. Step 2: Convert to fraction form
    9,435.16/13,018.14 = 6,289.24/x
  3. Step 3: Cross multiply
    9,435.16x = 13,018.14 × 6,289.24
  4. Step 4: Simplify right side
    9,435.16x = 81,874,206.81
  5. Step 5: Solve for x
    x = 81,874,206.81/9,435.16
  6. Step 6: Final answer
    x = 8,677.56

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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.