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Finding the Fourth Proportional to 9,201,742.86, 12,698,960.04 and 5,071,768.32

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Solution

The fourth proportional to 9,201,742.86, 12,698,960.04 and 5,071,768.32 is: 6,999,346.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201,742.86 : 12,698,960.04 = 5,071,768.32 : x
  2. Step 2: Convert to fraction form
    9,201,742.86/12,698,960.04 = 5,071,768.32/x
  3. Step 3: Cross multiply
    9,201,742.86x = 12,698,960.04 × 5,071,768.32
  4. Step 4: Simplify right side
    9,201,742.86x = 64,406,183,227,817.93
  5. Step 5: Solve for x
    x = 64,406,183,227,817.93/9,201,742.86
  6. Step 6: Final answer
    x = 6,999,346.12

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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.