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Finding the Fourth Proportional to 9,802.29, 14,703.40 and 4,254.91

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Solution

The fourth proportional to 9,802.29, 14,703.40 and 4,254.91 is: 6,382.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.29 : 14,703.40 = 4,254.91 : x
  2. Step 2: Convert to fraction form
    9,802.29/14,703.40 = 4,254.91/x
  3. Step 3: Cross multiply
    9,802.29x = 14,703.40 × 4,254.91
  4. Step 4: Simplify right side
    9,802.29x = 62,561,643.69
  5. Step 5: Solve for x
    x = 62,561,643.69/9,802.29
  6. Step 6: Final answer
    x = 6,382.35

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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.