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Finding the Fourth Proportional to 9,486.48, 13,088.61 and 7,490.64

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Solution

The fourth proportional to 9,486.48, 13,088.61 and 7,490.64 is: 10,334.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.48 : 13,088.61 = 7,490.64 : x
  2. Step 2: Convert to fraction form
    9,486.48/13,088.61 = 7,490.64/x
  3. Step 3: Cross multiply
    9,486.48x = 13,088.61 × 7,490.64
  4. Step 4: Simplify right side
    9,486.48x = 98,042,065.61
  5. Step 5: Solve for x
    x = 98,042,065.61/9,486.48
  6. Step 6: Final answer
    x = 10,334.93

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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.