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Finding the Fourth Proportional to 9,710.08, 14,552.90 and 4,156.86

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Solution

The fourth proportional to 9,710.08, 14,552.90 and 4,156.86 is: 6,230.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.08 : 14,552.90 = 4,156.86 : x
  2. Step 2: Convert to fraction form
    9,710.08/14,552.90 = 4,156.86/x
  3. Step 3: Cross multiply
    9,710.08x = 14,552.90 × 4,156.86
  4. Step 4: Simplify right side
    9,710.08x = 60,494,274.35
  5. Step 5: Solve for x
    x = 60,494,274.35/9,710.08
  6. Step 6: Final answer
    x = 6,230.05

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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.