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Finding the Fourth Proportional to 7,122.94, 9,829.65 and 4,328.44

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Solution

The fourth proportional to 7,122.94, 9,829.65 and 4,328.44 is: 5,973.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.94 : 9,829.65 = 4,328.44 : x
  2. Step 2: Convert to fraction form
    7,122.94/9,829.65 = 4,328.44/x
  3. Step 3: Cross multiply
    7,122.94x = 9,829.65 × 4,328.44
  4. Step 4: Simplify right side
    7,122.94x = 42,547,041.90
  5. Step 5: Solve for x
    x = 42,547,041.90/7,122.94
  6. Step 6: Final answer
    x = 5,973.24

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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.