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Finding the Fourth Proportional to 9,390.51, 12,969.54 and 6,401.21

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Solution

The fourth proportional to 9,390.51, 12,969.54 and 6,401.21 is: 8,840.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,390.51 : 12,969.54 = 6,401.21 : x
  2. Step 2: Convert to fraction form
    9,390.51/12,969.54 = 6,401.21/x
  3. Step 3: Cross multiply
    9,390.51x = 12,969.54 × 6,401.21
  4. Step 4: Simplify right side
    9,390.51x = 83,020,684.30
  5. Step 5: Solve for x
    x = 83,020,684.30/9,390.51
  6. Step 6: Final answer
    x = 8,840.91

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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.