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Finding the Fourth Proportional to 9,332.08, 13,998.16 and 2,312.08

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Solution

The fourth proportional to 9,332.08, 13,998.16 and 2,312.08 is: 3,468.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,332.08 : 13,998.16 = 2,312.08 : x
  2. Step 2: Convert to fraction form
    9,332.08/13,998.16 = 2,312.08/x
  3. Step 3: Cross multiply
    9,332.08x = 13,998.16 × 2,312.08
  4. Step 4: Simplify right side
    9,332.08x = 32,364,865.77
  5. Step 5: Solve for x
    x = 32,364,865.77/9,332.08
  6. Step 6: Final answer
    x = 3,468.13

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Why These Related Problems?

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