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Finding the Fourth Proportional to 9,417.10, 13,026.54 and 8,778.82

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Solution

The fourth proportional to 9,417.10, 13,026.54 and 8,778.82 is: 12,143.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,417.10 : 13,026.54 = 8,778.82 : x
  2. Step 2: Convert to fraction form
    9,417.10/13,026.54 = 8,778.82/x
  3. Step 3: Cross multiply
    9,417.10x = 13,026.54 × 8,778.82
  4. Step 4: Simplify right side
    9,417.10x = 114,357,649.88
  5. Step 5: Solve for x
    x = 114,357,649.88/9,417.10
  6. Step 6: Final answer
    x = 12,143.62

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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.