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Finding the Fourth Proportional to 7,026.04, 9,700.50 and 4,509.10

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Solution

The fourth proportional to 7,026.04, 9,700.50 and 4,509.10 is: 6,225.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026.04 : 9,700.50 = 4,509.10 : x
  2. Step 2: Convert to fraction form
    7,026.04/9,700.50 = 4,509.10/x
  3. Step 3: Cross multiply
    7,026.04x = 9,700.50 × 4,509.10
  4. Step 4: Simplify right side
    7,026.04x = 43,740,524.55
  5. Step 5: Solve for x
    x = 43,740,524.55/7,026.04
  6. Step 6: Final answer
    x = 6,225.49

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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.