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Finding the Fourth Proportional to 7,138,971.02, 9,842,264.81 and 5,673,772.14

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Solution

The fourth proportional to 7,138,971.02, 9,842,264.81 and 5,673,772.14 is: 7,822,243.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138,971.02 : 9,842,264.81 = 5,673,772.14 : x
  2. Step 2: Convert to fraction form
    7,138,971.02/9,842,264.81 = 5,673,772.14/x
  3. Step 3: Cross multiply
    7,138,971.02x = 9,842,264.81 × 5,673,772.14
  4. Step 4: Simplify right side
    7,138,971.02x = 55,842,767,873,480.39
  5. Step 5: Solve for x
    x = 55,842,767,873,480.39/7,138,971.02
  6. Step 6: Final answer
    x = 7,822,243.25

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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.