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Finding the Fourth Proportional to 9,536.58, 14,314.59 and 6,575.22

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Solution

The fourth proportional to 9,536.58, 14,314.59 and 6,575.22 is: 9,869.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,536.58 : 14,314.59 = 6,575.22 : x
  2. Step 2: Convert to fraction form
    9,536.58/14,314.59 = 6,575.22/x
  3. Step 3: Cross multiply
    9,536.58x = 14,314.59 × 6,575.22
  4. Step 4: Simplify right side
    9,536.58x = 94,121,578.46
  5. Step 5: Solve for x
    x = 94,121,578.46/9,536.58
  6. Step 6: Final answer
    x = 9,869.53

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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.