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Finding the Fourth Proportional to 10,102.12, 15,070.31 and 9,395.08

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Solution

The fourth proportional to 10,102.12, 15,070.31 and 9,395.08 is: 14,015.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.12 : 15,070.31 = 9,395.08 : x
  2. Step 2: Convert to fraction form
    10,102.12/15,070.31 = 9,395.08/x
  3. Step 3: Cross multiply
    10,102.12x = 15,070.31 × 9,395.08
  4. Step 4: Simplify right side
    10,102.12x = 141,586,768.07
  5. Step 5: Solve for x
    x = 141,586,768.07/10,102.12
  6. Step 6: Final answer
    x = 14,015.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.