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Finding the Fourth Proportional to 9,210.40, 13,821.65 and 5,053.32

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Solution

The fourth proportional to 9,210.40, 13,821.65 and 5,053.32 is: 7,583.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,210.40 : 13,821.65 = 5,053.32 : x
  2. Step 2: Convert to fraction form
    9,210.40/13,821.65 = 5,053.32/x
  3. Step 3: Cross multiply
    9,210.40x = 13,821.65 × 5,053.32
  4. Step 4: Simplify right side
    9,210.40x = 69,845,220.38
  5. Step 5: Solve for x
    x = 69,845,220.38/9,210.40
  6. Step 6: Final answer
    x = 7,583.30

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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.