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Finding the Fourth Proportional to 9,817.18, 13,533.42 and 7,455.22

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Solution

The fourth proportional to 9,817.18, 13,533.42 and 7,455.22 is: 10,277.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.18 : 13,533.42 = 7,455.22 : x
  2. Step 2: Convert to fraction form
    9,817.18/13,533.42 = 7,455.22/x
  3. Step 3: Cross multiply
    9,817.18x = 13,533.42 × 7,455.22
  4. Step 4: Simplify right side
    9,817.18x = 100,894,623.45
  5. Step 5: Solve for x
    x = 100,894,623.45/9,817.18
  6. Step 6: Final answer
    x = 10,277.35

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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.