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Finding the Fourth Proportional to 7,036.34, 9,710.15 and 3,892.50

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Solution

The fourth proportional to 7,036.34, 9,710.15 and 3,892.50 is: 5,371.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,036.34 : 9,710.15 = 3,892.50 : x
  2. Step 2: Convert to fraction form
    7,036.34/9,710.15 = 3,892.50/x
  3. Step 3: Cross multiply
    7,036.34x = 9,710.15 × 3,892.50
  4. Step 4: Simplify right side
    7,036.34x = 37,796,739.41
  5. Step 5: Solve for x
    x = 37,796,739.41/7,036.34
  6. Step 6: Final answer
    x = 5,371.65

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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.