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Finding the Fourth Proportional to 9,120.16, 13,658.46 and 4,666.87

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Solution

The fourth proportional to 9,120.16, 13,658.46 and 4,666.87 is: 6,989.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,120.16 : 13,658.46 = 4,666.87 : x
  2. Step 2: Convert to fraction form
    9,120.16/13,658.46 = 4,666.87/x
  3. Step 3: Cross multiply
    9,120.16x = 13,658.46 × 4,666.87
  4. Step 4: Simplify right side
    9,120.16x = 63,742,257.22
  5. Step 5: Solve for x
    x = 63,742,257.22/9,120.16
  6. Step 6: Final answer
    x = 6,989.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.