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Finding the Fourth Proportional to 6,565,543.62, 9,848,306.25 and 3,649,490.16

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Solution

The fourth proportional to 6,565,543.62, 9,848,306.25 and 3,649,490.16 is: 5,474,230.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565,543.62 : 9,848,306.25 = 3,649,490.16 : x
  2. Step 2: Convert to fraction form
    6,565,543.62/9,848,306.25 = 3,649,490.16/x
  3. Step 3: Cross multiply
    6,565,543.62x = 9,848,306.25 × 3,649,490.16
  4. Step 4: Simplify right side
    6,565,543.62x = 35,941,296,752,041.50
  5. Step 5: Solve for x
    x = 35,941,296,752,041.50/6,565,543.62
  6. Step 6: Final answer
    x = 5,474,230.14

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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.