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Finding the Fourth Proportional to 9,384.60, 14,068.18 and 3,537.24

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Solution

The fourth proportional to 9,384.60, 14,068.18 and 3,537.24 is: 5,302.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.60 : 14,068.18 = 3,537.24 : x
  2. Step 2: Convert to fraction form
    9,384.60/14,068.18 = 3,537.24/x
  3. Step 3: Cross multiply
    9,384.60x = 14,068.18 × 3,537.24
  4. Step 4: Simplify right side
    9,384.60x = 49,762,529.02
  5. Step 5: Solve for x
    x = 49,762,529.02/9,384.60
  6. Step 6: Final answer
    x = 5,302.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.