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Finding the Fourth Proportional to 9,178.07, 12,653.46 and 7,295.90

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Solution

The fourth proportional to 9,178.07, 12,653.46 and 7,295.90 is: 10,058.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.07 : 12,653.46 = 7,295.90 : x
  2. Step 2: Convert to fraction form
    9,178.07/12,653.46 = 7,295.90/x
  3. Step 3: Cross multiply
    9,178.07x = 12,653.46 × 7,295.90
  4. Step 4: Simplify right side
    9,178.07x = 92,318,378.81
  5. Step 5: Solve for x
    x = 92,318,378.81/9,178.07
  6. Step 6: Final answer
    x = 10,058.58

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