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Finding the Fourth Proportional to 9,386.03, 12,954.26 and 5,406.47

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Solution

The fourth proportional to 9,386.03, 12,954.26 and 5,406.47 is: 7,461.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.03 : 12,954.26 = 5,406.47 : x
  2. Step 2: Convert to fraction form
    9,386.03/12,954.26 = 5,406.47/x
  3. Step 3: Cross multiply
    9,386.03x = 12,954.26 × 5,406.47
  4. Step 4: Simplify right side
    9,386.03x = 70,036,818.06
  5. Step 5: Solve for x
    x = 70,036,818.06/9,386.03
  6. Step 6: Final answer
    x = 7,461.81

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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.