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Finding the Fourth Proportional to 9,292.16, 14,002.18 and 7,684.86

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Solution

The fourth proportional to 9,292.16, 14,002.18 and 7,684.86 is: 11,580.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.16 : 14,002.18 = 7,684.86 : x
  2. Step 2: Convert to fraction form
    9,292.16/14,002.18 = 7,684.86/x
  3. Step 3: Cross multiply
    9,292.16x = 14,002.18 × 7,684.86
  4. Step 4: Simplify right side
    9,292.16x = 107,604,792.99
  5. Step 5: Solve for x
    x = 107,604,792.99/9,292.16
  6. Step 6: Final answer
    x = 11,580.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.