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Finding the Fourth Proportional to 9,948.22, 13,726.06 and 6,407.17

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Solution

The fourth proportional to 9,948.22, 13,726.06 and 6,407.17 is: 8,840.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,948.22 : 13,726.06 = 6,407.17 : x
  2. Step 2: Convert to fraction form
    9,948.22/13,726.06 = 6,407.17/x
  3. Step 3: Cross multiply
    9,948.22x = 13,726.06 × 6,407.17
  4. Step 4: Simplify right side
    9,948.22x = 87,945,199.85
  5. Step 5: Solve for x
    x = 87,945,199.85/9,948.22
  6. Step 6: Final answer
    x = 8,840.30

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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.