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Finding the Fourth Proportional to 9,638.64, 13,296.54 and 7,510.36

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Solution

The fourth proportional to 9,638.64, 13,296.54 and 7,510.36 is: 10,360.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.64 : 13,296.54 = 7,510.36 : x
  2. Step 2: Convert to fraction form
    9,638.64/13,296.54 = 7,510.36/x
  3. Step 3: Cross multiply
    9,638.64x = 13,296.54 × 7,510.36
  4. Step 4: Simplify right side
    9,638.64x = 99,861,802.15
  5. Step 5: Solve for x
    x = 99,861,802.15/9,638.64
  6. Step 6: Final answer
    x = 10,360.57

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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.