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Finding the Fourth Proportional to 9,780.55, 13,503.18 and 7,537.93

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Solution

The fourth proportional to 9,780.55, 13,503.18 and 7,537.93 is: 10,406.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.55 : 13,503.18 = 7,537.93 : x
  2. Step 2: Convert to fraction form
    9,780.55/13,503.18 = 7,537.93/x
  3. Step 3: Cross multiply
    9,780.55x = 13,503.18 × 7,537.93
  4. Step 4: Simplify right side
    9,780.55x = 101,786,025.62
  5. Step 5: Solve for x
    x = 101,786,025.62/9,780.55
  6. Step 6: Final answer
    x = 10,406.98

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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.