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Finding the Fourth Proportional to 6,829,897.36, 9,424,139.40 and 4,038,633.40

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Solution

The fourth proportional to 6,829,897.36, 9,424,139.40 and 4,038,633.40 is: 5,572,652.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829,897.36 : 9,424,139.40 = 4,038,633.40 : x
  2. Step 2: Convert to fraction form
    6,829,897.36/9,424,139.40 = 4,038,633.40/x
  3. Step 3: Cross multiply
    6,829,897.36x = 9,424,139.40 × 4,038,633.40
  4. Step 4: Simplify right side
    6,829,897.36x = 38,060,644,147,095.96
  5. Step 5: Solve for x
    x = 38,060,644,147,095.96/6,829,897.36
  6. Step 6: Final answer
    x = 5,572,652.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.