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Finding the Fourth Proportional to 9,535.54, 14,312.46 and 3,987.40

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Solution

The fourth proportional to 9,535.54, 14,312.46 and 3,987.40 is: 5,984.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,535.54 : 14,312.46 = 3,987.40 : x
  2. Step 2: Convert to fraction form
    9,535.54/14,312.46 = 3,987.40/x
  3. Step 3: Cross multiply
    9,535.54x = 14,312.46 × 3,987.40
  4. Step 4: Simplify right side
    9,535.54x = 57,069,503.00
  5. Step 5: Solve for x
    x = 57,069,503.00/9,535.54
  6. Step 6: Final answer
    x = 5,984.93

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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.