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Finding the Fourth Proportional to 9,927.04, 13,696.48 and 5,678.08

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Solution

The fourth proportional to 9,927.04, 13,696.48 and 5,678.08 is: 7,834.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,927.04 : 13,696.48 = 5,678.08 : x
  2. Step 2: Convert to fraction form
    9,927.04/13,696.48 = 5,678.08/x
  3. Step 3: Cross multiply
    9,927.04x = 13,696.48 × 5,678.08
  4. Step 4: Simplify right side
    9,927.04x = 77,769,709.16
  5. Step 5: Solve for x
    x = 77,769,709.16/9,927.04
  6. Step 6: Final answer
    x = 7,834.13

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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.