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Finding the Fourth Proportional to 10,384.12, 14,395.95 and 9,823.02

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Solution

The fourth proportional to 10,384.12, 14,395.95 and 9,823.02 is: 13,618.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.12 : 14,395.95 = 9,823.02 : x
  2. Step 2: Convert to fraction form
    10,384.12/14,395.95 = 9,823.02/x
  3. Step 3: Cross multiply
    10,384.12x = 14,395.95 × 9,823.02
  4. Step 4: Simplify right side
    10,384.12x = 141,411,704.77
  5. Step 5: Solve for x
    x = 141,411,704.77/10,384.12
  6. Step 6: Final answer
    x = 13,618.07

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.