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Finding the Fourth Proportional to 9,303.49, 12,835.18 and 5,322.47

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Solution

The fourth proportional to 9,303.49, 12,835.18 and 5,322.47 is: 7,342.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,303.49 : 12,835.18 = 5,322.47 : x
  2. Step 2: Convert to fraction form
    9,303.49/12,835.18 = 5,322.47/x
  3. Step 3: Cross multiply
    9,303.49x = 12,835.18 × 5,322.47
  4. Step 4: Simplify right side
    9,303.49x = 68,314,860.49
  5. Step 5: Solve for x
    x = 68,314,860.49/9,303.49
  6. Step 6: Final answer
    x = 7,342.93

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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.