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Finding the Fourth Proportional to 8,925.06, 12,317.32 and 4,947.42

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Solution

The fourth proportional to 8,925.06, 12,317.32 and 4,947.42 is: 6,827.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,925.06 : 12,317.32 = 4,947.42 : x
  2. Step 2: Convert to fraction form
    8,925.06/12,317.32 = 4,947.42/x
  3. Step 3: Cross multiply
    8,925.06x = 12,317.32 × 4,947.42
  4. Step 4: Simplify right side
    8,925.06x = 60,938,955.31
  5. Step 5: Solve for x
    x = 60,938,955.31/8,925.06
  6. Step 6: Final answer
    x = 6,827.85

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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.