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Finding the Fourth Proportional to 9,830.34, 14,710.86 and 6,134.31

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Solution

The fourth proportional to 9,830.34, 14,710.86 and 6,134.31 is: 9,179.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.34 : 14,710.86 = 6,134.31 : x
  2. Step 2: Convert to fraction form
    9,830.34/14,710.86 = 6,134.31/x
  3. Step 3: Cross multiply
    9,830.34x = 14,710.86 × 6,134.31
  4. Step 4: Simplify right side
    9,830.34x = 90,240,975.61
  5. Step 5: Solve for x
    x = 90,240,975.61/9,830.34
  6. Step 6: Final answer
    x = 9,179.84

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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.