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Finding the Fourth Proportional to 9,578.45, 13,218.22 and 5,598.76

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Solution

The fourth proportional to 9,578.45, 13,218.22 and 5,598.76 is: 7,726.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.45 : 13,218.22 = 5,598.76 : x
  2. Step 2: Convert to fraction form
    9,578.45/13,218.22 = 5,598.76/x
  3. Step 3: Cross multiply
    9,578.45x = 13,218.22 × 5,598.76
  4. Step 4: Simplify right side
    9,578.45x = 74,005,641.41
  5. Step 5: Solve for x
    x = 74,005,641.41/9,578.45
  6. Step 6: Final answer
    x = 7,726.26

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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.