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Finding the Fourth Proportional to 9,857.13, 14,773.16 and 4,308.98

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Solution

The fourth proportional to 9,857.13, 14,773.16 and 4,308.98 is: 6,457.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.13 : 14,773.16 = 4,308.98 : x
  2. Step 2: Convert to fraction form
    9,857.13/14,773.16 = 4,308.98/x
  3. Step 3: Cross multiply
    9,857.13x = 14,773.16 × 4,308.98
  4. Step 4: Simplify right side
    9,857.13x = 63,657,155.57
  5. Step 5: Solve for x
    x = 63,657,155.57/9,857.13
  6. Step 6: Final answer
    x = 6,457.98

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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.