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Finding the Fourth Proportional to 9,985.06, 13,780.14 and 5,509.67

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Solution

The fourth proportional to 9,985.06, 13,780.14 and 5,509.67 is: 7,603.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.06 : 13,780.14 = 5,509.67 : x
  2. Step 2: Convert to fraction form
    9,985.06/13,780.14 = 5,509.67/x
  3. Step 3: Cross multiply
    9,985.06x = 13,780.14 × 5,509.67
  4. Step 4: Simplify right side
    9,985.06x = 75,924,023.95
  5. Step 5: Solve for x
    x = 75,924,023.95/9,985.06
  6. Step 6: Final answer
    x = 7,603.77

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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.