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Finding the Fourth Proportional to 7,051, 9,730.40 and 4,256.52

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Solution

The fourth proportional to 7,051, 9,730.40 and 4,256.52 is: 5,874.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051 : 9,730.40 = 4,256.52 : x
  2. Step 2: Convert to fraction form
    7,051/9,730.40 = 4,256.52/x
  3. Step 3: Cross multiply
    7,051x = 9,730.40 × 4,256.52
  4. Step 4: Simplify right side
    7,051x = 41,417,642.21
  5. Step 5: Solve for x
    x = 41,417,642.21/7,051
  6. Step 6: Final answer
    x = 5,874.01

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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.