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Finding the Fourth Proportional to 9,838.97, 13,577.12 and 5,590.93

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Solution

The fourth proportional to 9,838.97, 13,577.12 and 5,590.93 is: 7,715.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.97 : 13,577.12 = 5,590.93 : x
  2. Step 2: Convert to fraction form
    9,838.97/13,577.12 = 5,590.93/x
  3. Step 3: Cross multiply
    9,838.97x = 13,577.12 × 5,590.93
  4. Step 4: Simplify right side
    9,838.97x = 75,908,631.68
  5. Step 5: Solve for x
    x = 75,908,631.68/9,838.97
  6. Step 6: Final answer
    x = 7,715.10

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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.