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Finding the Fourth Proportional to 9,511, 14,275.32 and 4,834.33

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Solution

The fourth proportional to 9,511, 14,275.32 and 4,834.33 is: 7,255.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,511 : 14,275.32 = 4,834.33 : x
  2. Step 2: Convert to fraction form
    9,511/14,275.32 = 4,834.33/x
  3. Step 3: Cross multiply
    9,511x = 14,275.32 × 4,834.33
  4. Step 4: Simplify right side
    9,511x = 69,011,607.74
  5. Step 5: Solve for x
    x = 69,011,607.74/9,511
  6. Step 6: Final answer
    x = 7,255.98

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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.