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Finding the Fourth Proportional to 10,578.40, 14,605.32 and 9,455.74

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Solution

The fourth proportional to 10,578.40, 14,605.32 and 9,455.74 is: 13,055.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.40 : 14,605.32 = 9,455.74 : x
  2. Step 2: Convert to fraction form
    10,578.40/14,605.32 = 9,455.74/x
  3. Step 3: Cross multiply
    10,578.40x = 14,605.32 × 9,455.74
  4. Step 4: Simplify right side
    10,578.40x = 138,104,108.54
  5. Step 5: Solve for x
    x = 138,104,108.54/10,578.40
  6. Step 6: Final answer
    x = 13,055.29

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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.