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Finding the Fourth Proportional to 10,472.37, 14,435.06 and 9,613.98

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Solution

The fourth proportional to 10,472.37, 14,435.06 and 9,613.98 is: 13,251.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.37 : 14,435.06 = 9,613.98 : x
  2. Step 2: Convert to fraction form
    10,472.37/14,435.06 = 9,613.98/x
  3. Step 3: Cross multiply
    10,472.37x = 14,435.06 × 9,613.98
  4. Step 4: Simplify right side
    10,472.37x = 138,778,330.07
  5. Step 5: Solve for x
    x = 138,778,330.07/10,472.37
  6. Step 6: Final answer
    x = 13,251.86

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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.