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Finding the Fourth Proportional to 9,810.47, 14,705.51 and 4,259.13

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Solution

The fourth proportional to 9,810.47, 14,705.51 and 4,259.13 is: 6,384.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.47 : 14,705.51 = 4,259.13 : x
  2. Step 2: Convert to fraction form
    9,810.47/14,705.51 = 4,259.13/x
  3. Step 3: Cross multiply
    9,810.47x = 14,705.51 × 4,259.13
  4. Step 4: Simplify right side
    9,810.47x = 62,632,657.51
  5. Step 5: Solve for x
    x = 62,632,657.51/9,810.47
  6. Step 6: Final answer
    x = 6,384.27

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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.