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Finding the Fourth Proportional to 7,185.88, 9,913 and 4,668.40

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Solution

The fourth proportional to 7,185.88, 9,913 and 4,668.40 is: 6,440.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,185.88 : 9,913 = 4,668.40 : x
  2. Step 2: Convert to fraction form
    7,185.88/9,913 = 4,668.40/x
  3. Step 3: Cross multiply
    7,185.88x = 9,913 × 4,668.40
  4. Step 4: Simplify right side
    7,185.88x = 46,277,849.20
  5. Step 5: Solve for x
    x = 46,277,849.20/7,185.88
  6. Step 6: Final answer
    x = 6,440.11

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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.