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Finding the Fourth Proportional to 10,102.19, 13,952.69 and 6,739.16

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Solution

The fourth proportional to 10,102.19, 13,952.69 and 6,739.16 is: 9,307.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.19 : 13,952.69 = 6,739.16 : x
  2. Step 2: Convert to fraction form
    10,102.19/13,952.69 = 6,739.16/x
  3. Step 3: Cross multiply
    10,102.19x = 13,952.69 × 6,739.16
  4. Step 4: Simplify right side
    10,102.19x = 94,029,410.34
  5. Step 5: Solve for x
    x = 94,029,410.34/10,102.19
  6. Step 6: Final answer
    x = 9,307.82

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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.