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Finding the Fourth Proportional to 9,985.90, 13,780.44 and 5,509.74

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Solution

The fourth proportional to 9,985.90, 13,780.44 and 5,509.74 is: 7,603.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.90 : 13,780.44 = 5,509.74 : x
  2. Step 2: Convert to fraction form
    9,985.90/13,780.44 = 5,509.74/x
  3. Step 3: Cross multiply
    9,985.90x = 13,780.44 × 5,509.74
  4. Step 4: Simplify right side
    9,985.90x = 75,926,641.49
  5. Step 5: Solve for x
    x = 75,926,641.49/9,985.90
  6. Step 6: Final answer
    x = 7,603.38

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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.