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Finding the Fourth Proportional to 9,985.85, 13,780.38 and 5,509.64

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Solution

The fourth proportional to 9,985.85, 13,780.38 and 5,509.64 is: 7,603.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.85 : 13,780.38 = 5,509.64 : x
  2. Step 2: Convert to fraction form
    9,985.85/13,780.38 = 5,509.64/x
  3. Step 3: Cross multiply
    9,985.85x = 13,780.38 × 5,509.64
  4. Step 4: Simplify right side
    9,985.85x = 75,924,836.41
  5. Step 5: Solve for x
    x = 75,924,836.41/9,985.85
  6. Step 6: Final answer
    x = 7,603.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.