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Finding the Fourth Proportional to 10,210.75, 14,047.09 and 9,773.35

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Solution

The fourth proportional to 10,210.75, 14,047.09 and 9,773.35 is: 13,445.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,210.75 : 14,047.09 = 9,773.35 : x
  2. Step 2: Convert to fraction form
    10,210.75/14,047.09 = 9,773.35/x
  3. Step 3: Cross multiply
    10,210.75x = 14,047.09 × 9,773.35
  4. Step 4: Simplify right side
    10,210.75x = 137,287,127.05
  5. Step 5: Solve for x
    x = 137,287,127.05/10,210.75
  6. Step 6: Final answer
    x = 13,445.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.