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Finding the Fourth Proportional to 9,569.02, 13,205.22 and 5,319.94

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Solution

The fourth proportional to 9,569.02, 13,205.22 and 5,319.94 is: 7,341.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.02 : 13,205.22 = 5,319.94 : x
  2. Step 2: Convert to fraction form
    9,569.02/13,205.22 = 5,319.94/x
  3. Step 3: Cross multiply
    9,569.02x = 13,205.22 × 5,319.94
  4. Step 4: Simplify right side
    9,569.02x = 70,250,978.09
  5. Step 5: Solve for x
    x = 70,250,978.09/9,569.02
  6. Step 6: Final answer
    x = 7,341.50

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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.