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Finding the Fourth Proportional to 9,537.30, 13,158.74 and 5,503.81

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Solution

The fourth proportional to 9,537.30, 13,158.74 and 5,503.81 is: 7,593.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.30 : 13,158.74 = 5,503.81 : x
  2. Step 2: Convert to fraction form
    9,537.30/13,158.74 = 5,503.81/x
  3. Step 3: Cross multiply
    9,537.30x = 13,158.74 × 5,503.81
  4. Step 4: Simplify right side
    9,537.30x = 72,423,204.80
  5. Step 5: Solve for x
    x = 72,423,204.80/9,537.30
  6. Step 6: Final answer
    x = 7,593.68

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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.