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Finding the Fourth Proportional to 6,509,764.37, 9,745,491.37 and 4,345,421.12

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Solution

The fourth proportional to 6,509,764.37, 9,745,491.37 and 4,345,421.12 is: 6,505,345.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509,764.37 : 9,745,491.37 = 4,345,421.12 : x
  2. Step 2: Convert to fraction form
    6,509,764.37/9,745,491.37 = 4,345,421.12/x
  3. Step 3: Cross multiply
    6,509,764.37x = 9,745,491.37 × 4,345,421.12
  4. Step 4: Simplify right side
    6,509,764.37x = 42,348,264,023,975.73
  5. Step 5: Solve for x
    x = 42,348,264,023,975.73/6,509,764.37
  6. Step 6: Final answer
    x = 6,505,345.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.