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Finding the Fourth Proportional to 7,000.92, 9,666 and 4,352.40

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Solution

The fourth proportional to 7,000.92, 9,666 and 4,352.40 is: 6,009.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.92 : 9,666 = 4,352.40 : x
  2. Step 2: Convert to fraction form
    7,000.92/9,666 = 4,352.40/x
  3. Step 3: Cross multiply
    7,000.92x = 9,666 × 4,352.40
  4. Step 4: Simplify right side
    7,000.92x = 42,070,298.40
  5. Step 5: Solve for x
    x = 42,070,298.40/7,000.92
  6. Step 6: Final answer
    x = 6,009.25

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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.