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Finding the Fourth Proportional to 9,332.34, 14,003.37 and 4,137

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Solution

The fourth proportional to 9,332.34, 14,003.37 and 4,137 is: 6,207.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,332.34 : 14,003.37 = 4,137 : x
  2. Step 2: Convert to fraction form
    9,332.34/14,003.37 = 4,137/x
  3. Step 3: Cross multiply
    9,332.34x = 14,003.37 × 4,137
  4. Step 4: Simplify right side
    9,332.34x = 57,931,941.69
  5. Step 5: Solve for x
    x = 57,931,941.69/9,332.34
  6. Step 6: Final answer
    x = 6,207.65

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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.