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Finding the Fourth Proportional to 9,423.86, 14,138.12 and 6,655.93

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Solution

The fourth proportional to 9,423.86, 14,138.12 and 6,655.93 is: 9,985.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,423.86 : 14,138.12 = 6,655.93 : x
  2. Step 2: Convert to fraction form
    9,423.86/14,138.12 = 6,655.93/x
  3. Step 3: Cross multiply
    9,423.86x = 14,138.12 × 6,655.93
  4. Step 4: Simplify right side
    9,423.86x = 94,102,318.35
  5. Step 5: Solve for x
    x = 94,102,318.35/9,423.86
  6. Step 6: Final answer
    x = 9,985.54

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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.