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Finding the Fourth Proportional to 9,838.68, 13,577.23 and 5,362.47

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Solution

The fourth proportional to 9,838.68, 13,577.23 and 5,362.47 is: 7,400.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.68 : 13,577.23 = 5,362.47 : x
  2. Step 2: Convert to fraction form
    9,838.68/13,577.23 = 5,362.47/x
  3. Step 3: Cross multiply
    9,838.68x = 13,577.23 × 5,362.47
  4. Step 4: Simplify right side
    9,838.68x = 72,807,518.37
  5. Step 5: Solve for x
    x = 72,807,518.37/9,838.68
  6. Step 6: Final answer
    x = 7,400.13

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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.