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Finding the Fourth Proportional to 9,106.70, 13,663.33 and 3,564.02

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Solution

The fourth proportional to 9,106.70, 13,663.33 and 3,564.02 is: 5,347.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.70 : 13,663.33 = 3,564.02 : x
  2. Step 2: Convert to fraction form
    9,106.70/13,663.33 = 3,564.02/x
  3. Step 3: Cross multiply
    9,106.70x = 13,663.33 × 3,564.02
  4. Step 4: Simplify right side
    9,106.70x = 48,696,381.39
  5. Step 5: Solve for x
    x = 48,696,381.39/9,106.70
  6. Step 6: Final answer
    x = 5,347.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.