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Finding the Fourth Proportional to 7,094.07, 9,792.59 and 4,969.71

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Solution

The fourth proportional to 7,094.07, 9,792.59 and 4,969.71 is: 6,860.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094.07 : 9,792.59 = 4,969.71 : x
  2. Step 2: Convert to fraction form
    7,094.07/9,792.59 = 4,969.71/x
  3. Step 3: Cross multiply
    7,094.07x = 9,792.59 × 4,969.71
  4. Step 4: Simplify right side
    7,094.07x = 48,666,307.60
  5. Step 5: Solve for x
    x = 48,666,307.60/7,094.07
  6. Step 6: Final answer
    x = 6,860.14

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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.