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Finding the Fourth Proportional to 9,509.98, 14,258.89 and 3,967.15

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Solution

The fourth proportional to 9,509.98, 14,258.89 and 3,967.15 is: 5,948.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.98 : 14,258.89 = 3,967.15 : x
  2. Step 2: Convert to fraction form
    9,509.98/14,258.89 = 3,967.15/x
  3. Step 3: Cross multiply
    9,509.98x = 14,258.89 × 3,967.15
  4. Step 4: Simplify right side
    9,509.98x = 56,567,155.46
  5. Step 5: Solve for x
    x = 56,567,155.46/9,509.98
  6. Step 6: Final answer
    x = 5,948.19

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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.