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Finding the Fourth Proportional to 9,838.69, 13,577.40 and 5,362.45

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Solution

The fourth proportional to 9,838.69, 13,577.40 and 5,362.45 is: 7,400.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.69 : 13,577.40 = 5,362.45 : x
  2. Step 2: Convert to fraction form
    9,838.69/13,577.40 = 5,362.45/x
  3. Step 3: Cross multiply
    9,838.69x = 13,577.40 × 5,362.45
  4. Step 4: Simplify right side
    9,838.69x = 72,808,074.15
  5. Step 5: Solve for x
    x = 72,808,074.15/9,838.69
  6. Step 6: Final answer
    x = 7,400.18

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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.