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Finding the Fourth Proportional to 9,718.10, 14,578.80 and 3,053.33

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Solution

The fourth proportional to 9,718.10, 14,578.80 and 3,053.33 is: 4,580.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718.10 : 14,578.80 = 3,053.33 : x
  2. Step 2: Convert to fraction form
    9,718.10/14,578.80 = 3,053.33/x
  3. Step 3: Cross multiply
    9,718.10x = 14,578.80 × 3,053.33
  4. Step 4: Simplify right side
    9,718.10x = 44,513,887.40
  5. Step 5: Solve for x
    x = 44,513,887.40/9,718.10
  6. Step 6: Final answer
    x = 4,580.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.