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Finding the Fourth Proportional to 9,630.42, 13,291.51 and 5,854.77

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Solution

The fourth proportional to 9,630.42, 13,291.51 and 5,854.77 is: 8,080.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,630.42 : 13,291.51 = 5,854.77 : x
  2. Step 2: Convert to fraction form
    9,630.42/13,291.51 = 5,854.77/x
  3. Step 3: Cross multiply
    9,630.42x = 13,291.51 × 5,854.77
  4. Step 4: Simplify right side
    9,630.42x = 77,818,734.00
  5. Step 5: Solve for x
    x = 77,818,734.00/9,630.42
  6. Step 6: Final answer
    x = 8,080.51

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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.