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Finding the Fourth Proportional to 9,184.92, 12,663.72 and 7,598.16

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Solution

The fourth proportional to 9,184.92, 12,663.72 and 7,598.16 is: 10,475.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,184.92 : 12,663.72 = 7,598.16 : x
  2. Step 2: Convert to fraction form
    9,184.92/12,663.72 = 7,598.16/x
  3. Step 3: Cross multiply
    9,184.92x = 12,663.72 × 7,598.16
  4. Step 4: Simplify right side
    9,184.92x = 96,220,970.76
  5. Step 5: Solve for x
    x = 96,220,970.76/9,184.92
  6. Step 6: Final answer
    x = 10,475.97

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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.