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Finding the Fourth Proportional to 7,225.61, 9,970.90 and 4,038.66

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Solution

The fourth proportional to 7,225.61, 9,970.90 and 4,038.66 is: 5,573.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.61 : 9,970.90 = 4,038.66 : x
  2. Step 2: Convert to fraction form
    7,225.61/9,970.90 = 4,038.66/x
  3. Step 3: Cross multiply
    7,225.61x = 9,970.90 × 4,038.66
  4. Step 4: Simplify right side
    7,225.61x = 40,269,064.90
  5. Step 5: Solve for x
    x = 40,269,064.90/7,225.61
  6. Step 6: Final answer
    x = 5,573.11

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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.