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Finding the Fourth Proportional to 9,002.69, 12,423.05 and 5,225.25

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Solution

The fourth proportional to 9,002.69, 12,423.05 and 5,225.25 is: 7,210.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002.69 : 12,423.05 = 5,225.25 : x
  2. Step 2: Convert to fraction form
    9,002.69/12,423.05 = 5,225.25/x
  3. Step 3: Cross multiply
    9,002.69x = 12,423.05 × 5,225.25
  4. Step 4: Simplify right side
    9,002.69x = 64,913,510.51
  5. Step 5: Solve for x
    x = 64,913,510.51/9,002.69
  6. Step 6: Final answer
    x = 7,210.46

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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.