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Finding the Fourth Proportional to 9,914, 13,681.32 and 5,498

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Solution

The fourth proportional to 9,914, 13,681.32 and 5,498 is: 7,587.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914 : 13,681.32 = 5,498 : x
  2. Step 2: Convert to fraction form
    9,914/13,681.32 = 5,498/x
  3. Step 3: Cross multiply
    9,914x = 13,681.32 × 5,498
  4. Step 4: Simplify right side
    9,914x = 75,219,897.36
  5. Step 5: Solve for x
    x = 75,219,897.36/9,914
  6. Step 6: Final answer
    x = 7,587.24

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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.