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Finding the Fourth Proportional to 9,718.13, 13,412.64 and 7,356.17

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Solution

The fourth proportional to 9,718.13, 13,412.64 and 7,356.17 is: 10,152.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718.13 : 13,412.64 = 7,356.17 : x
  2. Step 2: Convert to fraction form
    9,718.13/13,412.64 = 7,356.17/x
  3. Step 3: Cross multiply
    9,718.13x = 13,412.64 × 7,356.17
  4. Step 4: Simplify right side
    9,718.13x = 98,665,592.93
  5. Step 5: Solve for x
    x = 98,665,592.93/9,718.13
  6. Step 6: Final answer
    x = 10,152.74

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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.