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Finding the Fourth Proportional to 9,985.92, 13,780.32 and 5,509.58

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Solution

The fourth proportional to 9,985.92, 13,780.32 and 5,509.58 is: 7,603.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.92 : 13,780.32 = 5,509.58 : x
  2. Step 2: Convert to fraction form
    9,985.92/13,780.32 = 5,509.58/x
  3. Step 3: Cross multiply
    9,985.92x = 13,780.32 × 5,509.58
  4. Step 4: Simplify right side
    9,985.92x = 75,923,775.47
  5. Step 5: Solve for x
    x = 75,923,775.47/9,985.92
  6. Step 6: Final answer
    x = 7,603.08

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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.