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Finding the Fourth Proportional to 9,569.70, 13,218.45 and 7,358.70

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Solution

The fourth proportional to 9,569.70, 13,218.45 and 7,358.70 is: 10,164.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.70 : 13,218.45 = 7,358.70 : x
  2. Step 2: Convert to fraction form
    9,569.70/13,218.45 = 7,358.70/x
  3. Step 3: Cross multiply
    9,569.70x = 13,218.45 × 7,358.70
  4. Step 4: Simplify right side
    9,569.70x = 97,270,608.02
  5. Step 5: Solve for x
    x = 97,270,608.02/9,569.70
  6. Step 6: Final answer
    x = 10,164.44

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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.