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Finding the Fourth Proportional to 9,778, 13,493.64 and 5,362

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Solution

The fourth proportional to 9,778, 13,493.64 and 5,362 is: 7,399.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778 : 13,493.64 = 5,362 : x
  2. Step 2: Convert to fraction form
    9,778/13,493.64 = 5,362/x
  3. Step 3: Cross multiply
    9,778x = 13,493.64 × 5,362
  4. Step 4: Simplify right side
    9,778x = 72,352,897.68
  5. Step 5: Solve for x
    x = 72,352,897.68/9,778
  6. Step 6: Final answer
    x = 7,399.56

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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.