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Finding the Fourth Proportional to 9,856.85, 13,597.74 and 6,671.26

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Solution

The fourth proportional to 9,856.85, 13,597.74 and 6,671.26 is: 9,203.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.85 : 13,597.74 = 6,671.26 : x
  2. Step 2: Convert to fraction form
    9,856.85/13,597.74 = 6,671.26/x
  3. Step 3: Cross multiply
    9,856.85x = 13,597.74 × 6,671.26
  4. Step 4: Simplify right side
    9,856.85x = 90,714,058.95
  5. Step 5: Solve for x
    x = 90,714,058.95/9,856.85
  6. Step 6: Final answer
    x = 9,203.15

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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.