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Finding the Fourth Proportional to 9,958.16, 14,964.59 and 9,308

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Solution

The fourth proportional to 9,958.16, 14,964.59 and 9,308 is: 13,987.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,958.16 : 14,964.59 = 9,308 : x
  2. Step 2: Convert to fraction form
    9,958.16/14,964.59 = 9,308/x
  3. Step 3: Cross multiply
    9,958.16x = 14,964.59 × 9,308
  4. Step 4: Simplify right side
    9,958.16x = 139,290,403.72
  5. Step 5: Solve for x
    x = 139,290,403.72/9,958.16
  6. Step 6: Final answer
    x = 13,987.56

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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.