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Finding the Fourth Proportional to 6,562,632.96, 9,829,777.68 and 6,402,019.68

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Solution

The fourth proportional to 6,562,632.96, 9,829,777.68 and 6,402,019.68 is: 9,589,204.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562,632.96 : 9,829,777.68 = 6,402,019.68 : x
  2. Step 2: Convert to fraction form
    6,562,632.96/9,829,777.68 = 6,402,019.68/x
  3. Step 3: Cross multiply
    6,562,632.96x = 9,829,777.68 × 6,402,019.68
  4. Step 4: Simplify right side
    6,562,632.96x = 62,930,430,157,384.73
  5. Step 5: Solve for x
    x = 62,930,430,157,384.73/6,562,632.96
  6. Step 6: Final answer
    x = 9,589,204.60

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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.