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Finding the Fourth Proportional to 10,384.98, 14,327.16 and 6,607.14

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Solution

The fourth proportional to 10,384.98, 14,327.16 and 6,607.14 is: 9,115.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.98 : 14,327.16 = 6,607.14 : x
  2. Step 2: Convert to fraction form
    10,384.98/14,327.16 = 6,607.14/x
  3. Step 3: Cross multiply
    10,384.98x = 14,327.16 × 6,607.14
  4. Step 4: Simplify right side
    10,384.98x = 94,661,551.92
  5. Step 5: Solve for x
    x = 94,661,551.92/10,384.98
  6. Step 6: Final answer
    x = 9,115.24

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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.