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Finding the Fourth Proportional to 10,117.80, 14,009.22 and 9,340.20

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Solution

The fourth proportional to 10,117.80, 14,009.22 and 9,340.20 is: 12,932.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,117.80 : 14,009.22 = 9,340.20 : x
  2. Step 2: Convert to fraction form
    10,117.80/14,009.22 = 9,340.20/x
  3. Step 3: Cross multiply
    10,117.80x = 14,009.22 × 9,340.20
  4. Step 4: Simplify right side
    10,117.80x = 130,848,916.64
  5. Step 5: Solve for x
    x = 130,848,916.64/10,117.80
  6. Step 6: Final answer
    x = 12,932.55

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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.