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Finding the Fourth Proportional to 9,985.74, 13,780.26 and 5,509.47

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Solution

The fourth proportional to 9,985.74, 13,780.26 and 5,509.47 is: 7,603.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.74 : 13,780.26 = 5,509.47 : x
  2. Step 2: Convert to fraction form
    9,985.74/13,780.26 = 5,509.47/x
  3. Step 3: Cross multiply
    9,985.74x = 13,780.26 × 5,509.47
  4. Step 4: Simplify right side
    9,985.74x = 75,921,929.06
  5. Step 5: Solve for x
    x = 75,921,929.06/9,985.74
  6. Step 6: Final answer
    x = 7,603.03

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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.