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Finding the Fourth Proportional to 9,985.49, 13,780.24 and 5,509.30

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Solution

The fourth proportional to 9,985.49, 13,780.24 and 5,509.30 is: 7,602.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.49 : 13,780.24 = 5,509.30 : x
  2. Step 2: Convert to fraction form
    9,985.49/13,780.24 = 5,509.30/x
  3. Step 3: Cross multiply
    9,985.49x = 13,780.24 × 5,509.30
  4. Step 4: Simplify right side
    9,985.49x = 75,919,476.23
  5. Step 5: Solve for x
    x = 75,919,476.23/9,985.49
  6. Step 6: Final answer
    x = 7,602.98

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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.