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Finding the Fourth Proportional to 9,656.51, 14,484.62 and 3,082.66

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Solution

The fourth proportional to 9,656.51, 14,484.62 and 3,082.66 is: 4,623.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.51 : 14,484.62 = 3,082.66 : x
  2. Step 2: Convert to fraction form
    9,656.51/14,484.62 = 3,082.66/x
  3. Step 3: Cross multiply
    9,656.51x = 14,484.62 × 3,082.66
  4. Step 4: Simplify right side
    9,656.51x = 44,651,070.85
  5. Step 5: Solve for x
    x = 44,651,070.85/9,656.51
  6. Step 6: Final answer
    x = 4,623.93

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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.