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Finding the Fourth Proportional to 9,862.32, 14,796.48 and 4,313.04

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Solution

The fourth proportional to 9,862.32, 14,796.48 and 4,313.04 is: 6,470.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.32 : 14,796.48 = 4,313.04 : x
  2. Step 2: Convert to fraction form
    9,862.32/14,796.48 = 4,313.04/x
  3. Step 3: Cross multiply
    9,862.32x = 14,796.48 × 4,313.04
  4. Step 4: Simplify right side
    9,862.32x = 63,817,810.10
  5. Step 5: Solve for x
    x = 63,817,810.10/9,862.32
  6. Step 6: Final answer
    x = 6,470.87

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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.