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Finding the Fourth Proportional to 10,395.36, 14,335.68 and 6,804.96

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Solution

The fourth proportional to 10,395.36, 14,335.68 and 6,804.96 is: 9,384.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,395.36 : 14,335.68 = 6,804.96 : x
  2. Step 2: Convert to fraction form
    10,395.36/14,335.68 = 6,804.96/x
  3. Step 3: Cross multiply
    10,395.36x = 14,335.68 × 6,804.96
  4. Step 4: Simplify right side
    10,395.36x = 97,553,728.97
  5. Step 5: Solve for x
    x = 97,553,728.97/10,395.36
  6. Step 6: Final answer
    x = 9,384.35

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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.