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Finding the Fourth Proportional to 10,202.32, 14,085.93 and 6,427.18

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Solution

The fourth proportional to 10,202.32, 14,085.93 and 6,427.18 is: 8,873.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.32 : 14,085.93 = 6,427.18 : x
  2. Step 2: Convert to fraction form
    10,202.32/14,085.93 = 6,427.18/x
  3. Step 3: Cross multiply
    10,202.32x = 14,085.93 × 6,427.18
  4. Step 4: Simplify right side
    10,202.32x = 90,532,807.58
  5. Step 5: Solve for x
    x = 90,532,807.58/10,202.32
  6. Step 6: Final answer
    x = 8,873.75

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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.