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Finding the Fourth Proportional to 9,802.48, 14,703.96 and 2,877.20

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Solution

The fourth proportional to 9,802.48, 14,703.96 and 2,877.20 is: 4,315.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.48 : 14,703.96 = 2,877.20 : x
  2. Step 2: Convert to fraction form
    9,802.48/14,703.96 = 2,877.20/x
  3. Step 3: Cross multiply
    9,802.48x = 14,703.96 × 2,877.20
  4. Step 4: Simplify right side
    9,802.48x = 42,306,233.71
  5. Step 5: Solve for x
    x = 42,306,233.71/9,802.48
  6. Step 6: Final answer
    x = 4,315.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.