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Finding the Fourth Proportional to 8,312.40, 12,472.65 and 6,337.35

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Solution

The fourth proportional to 8,312.40, 12,472.65 and 6,337.35 is: 9,509.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.40 : 12,472.65 = 6,337.35 : x
  2. Step 2: Convert to fraction form
    8,312.40/12,472.65 = 6,337.35/x
  3. Step 3: Cross multiply
    8,312.40x = 12,472.65 × 6,337.35
  4. Step 4: Simplify right side
    8,312.40x = 79,043,548.48
  5. Step 5: Solve for x
    x = 79,043,548.48/8,312.40
  6. Step 6: Final answer
    x = 9,509.11

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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.