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Finding the Fourth Proportional to 9,547.52, 14,317.85 and 3,305.85

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Solution

The fourth proportional to 9,547.52, 14,317.85 and 3,305.85 is: 4,957.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.52 : 14,317.85 = 3,305.85 : x
  2. Step 2: Convert to fraction form
    9,547.52/14,317.85 = 3,305.85/x
  3. Step 3: Cross multiply
    9,547.52x = 14,317.85 × 3,305.85
  4. Step 4: Simplify right side
    9,547.52x = 47,332,672.69
  5. Step 5: Solve for x
    x = 47,332,672.69/9,547.52
  6. Step 6: Final answer
    x = 4,957.59

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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.