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Finding the Fourth Proportional to 9,673.77, 14,511.47 and 4,476.81

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Solution

The fourth proportional to 9,673.77, 14,511.47 and 4,476.81 is: 6,715.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.77 : 14,511.47 = 4,476.81 : x
  2. Step 2: Convert to fraction form
    9,673.77/14,511.47 = 4,476.81/x
  3. Step 3: Cross multiply
    9,673.77x = 14,511.47 × 4,476.81
  4. Step 4: Simplify right side
    9,673.77x = 64,965,071.63
  5. Step 5: Solve for x
    x = 64,965,071.63/9,673.77
  6. Step 6: Final answer
    x = 6,715.59

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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.