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Finding the Fourth Proportional to 9,878,408.46, 14,817,612.69 and 6,511,828.14

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Solution

The fourth proportional to 9,878,408.46, 14,817,612.69 and 6,511,828.14 is: 9,767,742.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878,408.46 : 14,817,612.69 = 6,511,828.14 : x
  2. Step 2: Convert to fraction form
    9,878,408.46/14,817,612.69 = 6,511,828.14/x
  3. Step 3: Cross multiply
    9,878,408.46x = 14,817,612.69 × 6,511,828.14
  4. Step 4: Simplify right side
    9,878,408.46x = 96,489,747,282,363.09
  5. Step 5: Solve for x
    x = 96,489,747,282,363.09/9,878,408.46
  6. Step 6: Final answer
    x = 9,767,742.21

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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.