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Finding the Fourth Proportional to 9,258.88, 13,878.96 and 4,632.16

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Solution

The fourth proportional to 9,258.88, 13,878.96 and 4,632.16 is: 6,943.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,258.88 : 13,878.96 = 4,632.16 : x
  2. Step 2: Convert to fraction form
    9,258.88/13,878.96 = 4,632.16/x
  3. Step 3: Cross multiply
    9,258.88x = 13,878.96 × 4,632.16
  4. Step 4: Simplify right side
    9,258.88x = 64,289,563.35
  5. Step 5: Solve for x
    x = 64,289,563.35/9,258.88
  6. Step 6: Final answer
    x = 6,943.56

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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.