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Finding the Fourth Proportional to 6,931.78, 9,569.02 and 4,417.34

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Solution

The fourth proportional to 6,931.78, 9,569.02 and 4,417.34 is: 6,097.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,931.78 : 9,569.02 = 4,417.34 : x
  2. Step 2: Convert to fraction form
    6,931.78/9,569.02 = 4,417.34/x
  3. Step 3: Cross multiply
    6,931.78x = 9,569.02 × 4,417.34
  4. Step 4: Simplify right side
    6,931.78x = 42,269,614.81
  5. Step 5: Solve for x
    x = 42,269,614.81/6,931.78
  6. Step 6: Final answer
    x = 6,097.95

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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.