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Finding the Fourth Proportional to 9,536.48, 14,307.22 and 3,613.42

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Solution

The fourth proportional to 9,536.48, 14,307.22 and 3,613.42 is: 5,421.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,536.48 : 14,307.22 = 3,613.42 : x
  2. Step 2: Convert to fraction form
    9,536.48/14,307.22 = 3,613.42/x
  3. Step 3: Cross multiply
    9,536.48x = 14,307.22 × 3,613.42
  4. Step 4: Simplify right side
    9,536.48x = 51,697,994.89
  5. Step 5: Solve for x
    x = 51,697,994.89/9,536.48
  6. Step 6: Final answer
    x = 5,421.08

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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.