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Finding the Fourth Proportional to 9,509.19, 13,121.08 and 5,530.47

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Solution

The fourth proportional to 9,509.19, 13,121.08 and 5,530.47 is: 7,631.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.19 : 13,121.08 = 5,530.47 : x
  2. Step 2: Convert to fraction form
    9,509.19/13,121.08 = 5,530.47/x
  3. Step 3: Cross multiply
    9,509.19x = 13,121.08 × 5,530.47
  4. Step 4: Simplify right side
    9,509.19x = 72,565,739.31
  5. Step 5: Solve for x
    x = 72,565,739.31/9,509.19
  6. Step 6: Final answer
    x = 7,631.12

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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.