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Finding the Fourth Proportional to 9,509.70, 13,122.72 and 5,530.53

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Solution

The fourth proportional to 9,509.70, 13,122.72 and 5,530.53 is: 7,631.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.70 : 13,122.72 = 5,530.53 : x
  2. Step 2: Convert to fraction form
    9,509.70/13,122.72 = 5,530.53/x
  3. Step 3: Cross multiply
    9,509.70x = 13,122.72 × 5,530.53
  4. Step 4: Simplify right side
    9,509.70x = 72,575,596.64
  5. Step 5: Solve for x
    x = 72,575,596.64/9,509.70
  6. Step 6: Final answer
    x = 7,631.74

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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.