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Finding the Fourth Proportional to 7,225.30, 9,970.68 and 4,430.80

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Solution

The fourth proportional to 7,225.30, 9,970.68 and 4,430.80 is: 6,114.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.30 : 9,970.68 = 4,430.80 : x
  2. Step 2: Convert to fraction form
    7,225.30/9,970.68 = 4,430.80/x
  3. Step 3: Cross multiply
    7,225.30x = 9,970.68 × 4,430.80
  4. Step 4: Simplify right side
    7,225.30x = 44,178,088.94
  5. Step 5: Solve for x
    x = 44,178,088.94/7,225.30
  6. Step 6: Final answer
    x = 6,114.36

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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.