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Finding the Fourth Proportional to 10,306.94, 14,216.06 and 6,530.72

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Solution

The fourth proportional to 10,306.94, 14,216.06 and 6,530.72 is: 9,007.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,306.94 : 14,216.06 = 6,530.72 : x
  2. Step 2: Convert to fraction form
    10,306.94/14,216.06 = 6,530.72/x
  3. Step 3: Cross multiply
    10,306.94x = 14,216.06 × 6,530.72
  4. Step 4: Simplify right side
    10,306.94x = 92,841,003.63
  5. Step 5: Solve for x
    x = 92,841,003.63/10,306.94
  6. Step 6: Final answer
    x = 9,007.62

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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.