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Finding the Fourth Proportional to 9,035.10, 13,564.80 and 7,188.30

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Solution

The fourth proportional to 9,035.10, 13,564.80 and 7,188.30 is: 10,792.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,035.10 : 13,564.80 = 7,188.30 : x
  2. Step 2: Convert to fraction form
    9,035.10/13,564.80 = 7,188.30/x
  3. Step 3: Cross multiply
    9,035.10x = 13,564.80 × 7,188.30
  4. Step 4: Simplify right side
    9,035.10x = 97,507,851.84
  5. Step 5: Solve for x
    x = 97,507,851.84/9,035.10
  6. Step 6: Final answer
    x = 10,792.12

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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.