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Finding the Fourth Proportional to 9,707.85, 14,552.06 and 4,781.03

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Solution

The fourth proportional to 9,707.85, 14,552.06 and 4,781.03 is: 7,166.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.85 : 14,552.06 = 4,781.03 : x
  2. Step 2: Convert to fraction form
    9,707.85/14,552.06 = 4,781.03/x
  3. Step 3: Cross multiply
    9,707.85x = 14,552.06 × 4,781.03
  4. Step 4: Simplify right side
    9,707.85x = 69,573,738.76
  5. Step 5: Solve for x
    x = 69,573,738.76/9,707.85
  6. Step 6: Final answer
    x = 7,166.75

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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.