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Finding the Fourth Proportional to 9,651,762.14, 14,473,223.24 and 5,762,984.65

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Solution

The fourth proportional to 9,651,762.14, 14,473,223.24 and 5,762,984.65 is: 8,641,837.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651,762.14 : 14,473,223.24 = 5,762,984.65 : x
  2. Step 2: Convert to fraction form
    9,651,762.14/14,473,223.24 = 5,762,984.65/x
  3. Step 3: Cross multiply
    9,651,762.14x = 14,473,223.24 × 5,762,984.65
  4. Step 4: Simplify right side
    9,651,762.14x = 83,408,963,303,145.28
  5. Step 5: Solve for x
    x = 83,408,963,303,145.28/9,651,762.14
  6. Step 6: Final answer
    x = 8,641,837.85

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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.