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Finding the Fourth Proportional to 9,315.95, 13,962 and 4,573.20

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Solution

The fourth proportional to 9,315.95, 13,962 and 4,573.20 is: 6,853.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315.95 : 13,962 = 4,573.20 : x
  2. Step 2: Convert to fraction form
    9,315.95/13,962 = 4,573.20/x
  3. Step 3: Cross multiply
    9,315.95x = 13,962 × 4,573.20
  4. Step 4: Simplify right side
    9,315.95x = 63,851,018.40
  5. Step 5: Solve for x
    x = 63,851,018.40/9,315.95
  6. Step 6: Final answer
    x = 6,853.95

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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.