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Finding the Fourth Proportional to 7,041.84, 9,730.56 and 6,700.20

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Solution

The fourth proportional to 7,041.84, 9,730.56 and 6,700.20 is: 9,258.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,041.84 : 9,730.56 = 6,700.20 : x
  2. Step 2: Convert to fraction form
    7,041.84/9,730.56 = 6,700.20/x
  3. Step 3: Cross multiply
    7,041.84x = 9,730.56 × 6,700.20
  4. Step 4: Simplify right side
    7,041.84x = 65,196,698.11
  5. Step 5: Solve for x
    x = 65,196,698.11/7,041.84
  6. Step 6: Final answer
    x = 9,258.47

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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.