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Finding the Fourth Proportional to 9,714,311.64, 14,578,757.46 and 3,655,019.16

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Solution

The fourth proportional to 9,714,311.64, 14,578,757.46 and 3,655,019.16 is: 5,485,271.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714,311.64 : 14,578,757.46 = 3,655,019.16 : x
  2. Step 2: Convert to fraction form
    9,714,311.64/14,578,757.46 = 3,655,019.16/x
  3. Step 3: Cross multiply
    9,714,311.64x = 14,578,757.46 × 3,655,019.16
  4. Step 4: Simplify right side
    9,714,311.64x = 53,285,637,845,292.94
  5. Step 5: Solve for x
    x = 53,285,637,845,292.94/9,714,311.64
  6. Step 6: Final answer
    x = 5,485,271.61

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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.