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Finding the Fourth Proportional to 9,302.60, 13,953.90 and 9,237.80

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Solution

The fourth proportional to 9,302.60, 13,953.90 and 9,237.80 is: 13,856.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.60 : 13,953.90 = 9,237.80 : x
  2. Step 2: Convert to fraction form
    9,302.60/13,953.90 = 9,237.80/x
  3. Step 3: Cross multiply
    9,302.60x = 13,953.90 × 9,237.80
  4. Step 4: Simplify right side
    9,302.60x = 128,903,337.42
  5. Step 5: Solve for x
    x = 128,903,337.42/9,302.60
  6. Step 6: Final answer
    x = 13,856.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.