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Finding the Fourth Proportional to 8,931.63, 12,326.15 and 4,952.66

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Solution

The fourth proportional to 8,931.63, 12,326.15 and 4,952.66 is: 6,834.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,931.63 : 12,326.15 = 4,952.66 : x
  2. Step 2: Convert to fraction form
    8,931.63/12,326.15 = 4,952.66/x
  3. Step 3: Cross multiply
    8,931.63x = 12,326.15 × 4,952.66
  4. Step 4: Simplify right side
    8,931.63x = 61,047,143.66
  5. Step 5: Solve for x
    x = 61,047,143.66/8,931.63
  6. Step 6: Final answer
    x = 6,834.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.