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Finding the Fourth Proportional to 9,536.94, 14,307.23 and 2,962.88

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Solution

The fourth proportional to 9,536.94, 14,307.23 and 2,962.88 is: 4,444.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,536.94 : 14,307.23 = 2,962.88 : x
  2. Step 2: Convert to fraction form
    9,536.94/14,307.23 = 2,962.88/x
  3. Step 3: Cross multiply
    9,536.94x = 14,307.23 × 2,962.88
  4. Step 4: Simplify right side
    9,536.94x = 42,390,595.15
  5. Step 5: Solve for x
    x = 42,390,595.15/9,536.94
  6. Step 6: Final answer
    x = 4,444.88

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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.