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Finding the Fourth Proportional to 9,535.87, 14,307.75 and 5,148.17

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Solution

The fourth proportional to 9,535.87, 14,307.75 and 5,148.17 is: 7,724.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,535.87 : 14,307.75 = 5,148.17 : x
  2. Step 2: Convert to fraction form
    9,535.87/14,307.75 = 5,148.17/x
  3. Step 3: Cross multiply
    9,535.87x = 14,307.75 × 5,148.17
  4. Step 4: Simplify right side
    9,535.87x = 73,658,657.78
  5. Step 5: Solve for x
    x = 73,658,657.78/9,535.87
  6. Step 6: Final answer
    x = 7,724.38

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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.