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Finding the Fourth Proportional to 9,357.93, 12,916.06 and 6,374.95

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Solution

The fourth proportional to 9,357.93, 12,916.06 and 6,374.95 is: 8,798.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.93 : 12,916.06 = 6,374.95 : x
  2. Step 2: Convert to fraction form
    9,357.93/12,916.06 = 6,374.95/x
  3. Step 3: Cross multiply
    9,357.93x = 12,916.06 × 6,374.95
  4. Step 4: Simplify right side
    9,357.93x = 82,339,261.12
  5. Step 5: Solve for x
    x = 82,339,261.12/9,357.93
  6. Step 6: Final answer
    x = 8,798.88

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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.