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Finding the Fourth Proportional to 9,536.40, 14,305.95 and 2,963.16

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Solution

The fourth proportional to 9,536.40, 14,305.95 and 2,963.16 is: 4,445.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,536.40 : 14,305.95 = 2,963.16 : x
  2. Step 2: Convert to fraction form
    9,536.40/14,305.95 = 2,963.16/x
  3. Step 3: Cross multiply
    9,536.40x = 14,305.95 × 2,963.16
  4. Step 4: Simplify right side
    9,536.40x = 42,390,818.80
  5. Step 5: Solve for x
    x = 42,390,818.80/9,536.40
  6. Step 6: Final answer
    x = 4,445.16

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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.