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Finding the Fourth Proportional to 10,071.81, 13,905.88 and 9,006.26

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Solution

The fourth proportional to 10,071.81, 13,905.88 and 9,006.26 is: 12,434.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.81 : 13,905.88 = 9,006.26 : x
  2. Step 2: Convert to fraction form
    10,071.81/13,905.88 = 9,006.26/x
  3. Step 3: Cross multiply
    10,071.81x = 13,905.88 × 9,006.26
  4. Step 4: Simplify right side
    10,071.81x = 125,239,878.76
  5. Step 5: Solve for x
    x = 125,239,878.76/10,071.81
  6. Step 6: Final answer
    x = 12,434.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.