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Finding the Fourth Proportional to 10,444.75, 14,404.13 and 9,690.23

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Solution

The fourth proportional to 10,444.75, 14,404.13 and 9,690.23 is: 13,363.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444.75 : 14,404.13 = 9,690.23 : x
  2. Step 2: Convert to fraction form
    10,444.75/14,404.13 = 9,690.23/x
  3. Step 3: Cross multiply
    10,444.75x = 14,404.13 × 9,690.23
  4. Step 4: Simplify right side
    10,444.75x = 139,579,356.55
  5. Step 5: Solve for x
    x = 139,579,356.55/10,444.75
  6. Step 6: Final answer
    x = 13,363.59

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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.