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Finding the Fourth Proportional to 9,530.32, 14,297.28 and 2,954.98

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Solution

The fourth proportional to 9,530.32, 14,297.28 and 2,954.98 is: 4,433.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,530.32 : 14,297.28 = 2,954.98 : x
  2. Step 2: Convert to fraction form
    9,530.32/14,297.28 = 2,954.98/x
  3. Step 3: Cross multiply
    9,530.32x = 14,297.28 × 2,954.98
  4. Step 4: Simplify right side
    9,530.32x = 42,248,176.45
  5. Step 5: Solve for x
    x = 42,248,176.45/9,530.32
  6. Step 6: Final answer
    x = 4,433.03

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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.