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Finding the Fourth Proportional to 9,718.26, 13,412.46 and 7,068.30

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Solution

The fourth proportional to 9,718.26, 13,412.46 and 7,068.30 is: 9,755.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718.26 : 13,412.46 = 7,068.30 : x
  2. Step 2: Convert to fraction form
    9,718.26/13,412.46 = 7,068.30/x
  3. Step 3: Cross multiply
    9,718.26x = 13,412.46 × 7,068.30
  4. Step 4: Simplify right side
    9,718.26x = 94,803,291.02
  5. Step 5: Solve for x
    x = 94,803,291.02/9,718.26
  6. Step 6: Final answer
    x = 9,755.17

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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.