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Finding the Fourth Proportional to 9,718.19, 13,412.99 and 6,319.40

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Solution

The fourth proportional to 9,718.19, 13,412.99 and 6,319.40 is: 8,722.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718.19 : 13,412.99 = 6,319.40 : x
  2. Step 2: Convert to fraction form
    9,718.19/13,412.99 = 6,319.40/x
  3. Step 3: Cross multiply
    9,718.19x = 13,412.99 × 6,319.40
  4. Step 4: Simplify right side
    9,718.19x = 84,762,050.94
  5. Step 5: Solve for x
    x = 84,762,050.94/9,718.19
  6. Step 6: Final answer
    x = 8,722.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.