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Finding the Fourth Proportional to 9,152.85, 12,631.28 and 5,566.77

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Solution

The fourth proportional to 9,152.85, 12,631.28 and 5,566.77 is: 7,682.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.85 : 12,631.28 = 5,566.77 : x
  2. Step 2: Convert to fraction form
    9,152.85/12,631.28 = 5,566.77/x
  3. Step 3: Cross multiply
    9,152.85x = 12,631.28 × 5,566.77
  4. Step 4: Simplify right side
    9,152.85x = 70,315,402.73
  5. Step 5: Solve for x
    x = 70,315,402.73/9,152.85
  6. Step 6: Final answer
    x = 7,682.35

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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.