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Finding the Fourth Proportional to 9,643.64, 13,303.44 and 7,515.36

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Solution

The fourth proportional to 9,643.64, 13,303.44 and 7,515.36 is: 10,367.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.64 : 13,303.44 = 7,515.36 : x
  2. Step 2: Convert to fraction form
    9,643.64/13,303.44 = 7,515.36/x
  3. Step 3: Cross multiply
    9,643.64x = 13,303.44 × 7,515.36
  4. Step 4: Simplify right side
    9,643.64x = 99,980,140.84
  5. Step 5: Solve for x
    x = 99,980,140.84/9,643.64
  6. Step 6: Final answer
    x = 10,367.47

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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.