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Finding the Fourth Proportional to 10,462.97, 14,436.93 and 6,485.06

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Solution

The fourth proportional to 10,462.97, 14,436.93 and 6,485.06 is: 8,948.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.97 : 14,436.93 = 6,485.06 : x
  2. Step 2: Convert to fraction form
    10,462.97/14,436.93 = 6,485.06/x
  3. Step 3: Cross multiply
    10,462.97x = 14,436.93 × 6,485.06
  4. Step 4: Simplify right side
    10,462.97x = 93,624,417.68
  5. Step 5: Solve for x
    x = 93,624,417.68/10,462.97
  6. Step 6: Final answer
    x = 8,948.17

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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.