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Finding the Fourth Proportional to 9,347.46, 14,001.84 and 4,156.98

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Solution

The fourth proportional to 9,347.46, 14,001.84 and 4,156.98 is: 6,226.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347.46 : 14,001.84 = 4,156.98 : x
  2. Step 2: Convert to fraction form
    9,347.46/14,001.84 = 4,156.98/x
  3. Step 3: Cross multiply
    9,347.46x = 14,001.84 × 4,156.98
  4. Step 4: Simplify right side
    9,347.46x = 58,205,368.84
  5. Step 5: Solve for x
    x = 58,205,368.84/9,347.46
  6. Step 6: Final answer
    x = 6,226.86

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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.