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Finding the Fourth Proportional to 9,776.15, 13,498.86 and 9,029.84

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Solution

The fourth proportional to 9,776.15, 13,498.86 and 9,029.84 is: 12,468.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.15 : 13,498.86 = 9,029.84 : x
  2. Step 2: Convert to fraction form
    9,776.15/13,498.86 = 9,029.84/x
  3. Step 3: Cross multiply
    9,776.15x = 13,498.86 × 9,029.84
  4. Step 4: Simplify right side
    9,776.15x = 121,892,500.83
  5. Step 5: Solve for x
    x = 121,892,500.83/9,776.15
  6. Step 6: Final answer
    x = 12,468.35

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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.