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Finding the Fourth Proportional to 9,530.61, 14,290.13 and 4,264.64

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Solution

The fourth proportional to 9,530.61, 14,290.13 and 4,264.64 is: 6,394.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,530.61 : 14,290.13 = 4,264.64 : x
  2. Step 2: Convert to fraction form
    9,530.61/14,290.13 = 4,264.64/x
  3. Step 3: Cross multiply
    9,530.61x = 14,290.13 × 4,264.64
  4. Step 4: Simplify right side
    9,530.61x = 60,942,260.00
  5. Step 5: Solve for x
    x = 60,942,260.00/9,530.61
  6. Step 6: Final answer
    x = 6,394.37

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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.