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Finding the Fourth Proportional to 6,406,154.06, 9,607,253.70 and 1,857,538.10

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Solution

The fourth proportional to 6,406,154.06, 9,607,253.70 and 1,857,538.10 is: 2,785,733.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406,154.06 : 9,607,253.70 = 1,857,538.10 : x
  2. Step 2: Convert to fraction form
    6,406,154.06/9,607,253.70 = 1,857,538.10/x
  3. Step 3: Cross multiply
    6,406,154.06x = 9,607,253.70 × 1,857,538.10
  4. Step 4: Simplify right side
    6,406,154.06x = 17,845,839,784,115.97
  5. Step 5: Solve for x
    x = 17,845,839,784,115.97/6,406,154.06
  6. Step 6: Final answer
    x = 2,785,733.78

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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.