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Finding the Fourth Proportional to 9,588.64, 14,402.64 and 6,306.40

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Solution

The fourth proportional to 9,588.64, 14,402.64 and 6,306.40 is: 9,472.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.64 : 14,402.64 = 6,306.40 : x
  2. Step 2: Convert to fraction form
    9,588.64/14,402.64 = 6,306.40/x
  3. Step 3: Cross multiply
    9,588.64x = 14,402.64 × 6,306.40
  4. Step 4: Simplify right side
    9,588.64x = 90,828,808.90
  5. Step 5: Solve for x
    x = 90,828,808.90/9,588.64
  6. Step 6: Final answer
    x = 9,472.54

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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.