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Finding the Fourth Proportional to 9,678.48, 13,356.04 and 5,487.12

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Solution

The fourth proportional to 9,678.48, 13,356.04 and 5,487.12 is: 7,572.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.48 : 13,356.04 = 5,487.12 : x
  2. Step 2: Convert to fraction form
    9,678.48/13,356.04 = 5,487.12/x
  3. Step 3: Cross multiply
    9,678.48x = 13,356.04 × 5,487.12
  4. Step 4: Simplify right side
    9,678.48x = 73,286,194.20
  5. Step 5: Solve for x
    x = 73,286,194.20/9,678.48
  6. Step 6: Final answer
    x = 7,572.08

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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.