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Finding the Fourth Proportional to 9,454.96, 14,165.52 and 5,290.12

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Solution

The fourth proportional to 9,454.96, 14,165.52 and 5,290.12 is: 7,925.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,454.96 : 14,165.52 = 5,290.12 : x
  2. Step 2: Convert to fraction form
    9,454.96/14,165.52 = 5,290.12/x
  3. Step 3: Cross multiply
    9,454.96x = 14,165.52 × 5,290.12
  4. Step 4: Simplify right side
    9,454.96x = 74,937,300.66
  5. Step 5: Solve for x
    x = 74,937,300.66/9,454.96
  6. Step 6: Final answer
    x = 7,925.71

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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.