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Finding the Fourth Proportional to 9,045.40, 13,568.64 and 4,668.16

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Solution

The fourth proportional to 9,045.40, 13,568.64 and 4,668.16 is: 7,002.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,045.40 : 13,568.64 = 4,668.16 : x
  2. Step 2: Convert to fraction form
    9,045.40/13,568.64 = 4,668.16/x
  3. Step 3: Cross multiply
    9,045.40x = 13,568.64 × 4,668.16
  4. Step 4: Simplify right side
    9,045.40x = 63,340,582.50
  5. Step 5: Solve for x
    x = 63,340,582.50/9,045.40
  6. Step 6: Final answer
    x = 7,002.52

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Why These Related Problems?

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