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Finding the Fourth Proportional to 25,097.40, 37,643.40 and 6,629.40

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Solution

The fourth proportional to 25,097.40, 37,643.40 and 6,629.40 is: 9,943.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,097.40 : 37,643.40 = 6,629.40 : x
  2. Step 2: Convert to fraction form
    25,097.40/37,643.40 = 6,629.40/x
  3. Step 3: Cross multiply
    25,097.40x = 37,643.40 × 6,629.40
  4. Step 4: Simplify right side
    25,097.40x = 249,553,155.96
  5. Step 5: Solve for x
    x = 249,553,155.96/25,097.40
  6. Step 6: Final answer
    x = 9,943.39

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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.