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Finding the Fourth Proportional to 9,600.46, 13,252.35 and 7,505.26

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Solution

The fourth proportional to 9,600.46, 13,252.35 and 7,505.26 is: 10,360.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.46 : 13,252.35 = 7,505.26 : x
  2. Step 2: Convert to fraction form
    9,600.46/13,252.35 = 7,505.26/x
  3. Step 3: Cross multiply
    9,600.46x = 13,252.35 × 7,505.26
  4. Step 4: Simplify right side
    9,600.46x = 99,462,332.36
  5. Step 5: Solve for x
    x = 99,462,332.36/9,600.46
  6. Step 6: Final answer
    x = 10,360.16

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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.