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Finding the Fourth Proportional to 9,857.90, 14,790.13 and 4,314.87

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Solution

The fourth proportional to 9,857.90, 14,790.13 and 4,314.87 is: 6,473.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.90 : 14,790.13 = 4,314.87 : x
  2. Step 2: Convert to fraction form
    9,857.90/14,790.13 = 4,314.87/x
  3. Step 3: Cross multiply
    9,857.90x = 14,790.13 × 4,314.87
  4. Step 4: Simplify right side
    9,857.90x = 63,817,477.45
  5. Step 5: Solve for x
    x = 63,817,477.45/9,857.90
  6. Step 6: Final answer
    x = 6,473.74

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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.