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Finding the Fourth Proportional to 9,810.02, 14,706.76 and 4,259.20

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Solution

The fourth proportional to 9,810.02, 14,706.76 and 4,259.20 is: 6,385.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.02 : 14,706.76 = 4,259.20 : x
  2. Step 2: Convert to fraction form
    9,810.02/14,706.76 = 4,259.20/x
  3. Step 3: Cross multiply
    9,810.02x = 14,706.76 × 4,259.20
  4. Step 4: Simplify right side
    9,810.02x = 62,639,032.19
  5. Step 5: Solve for x
    x = 62,639,032.19/9,810.02
  6. Step 6: Final answer
    x = 6,385.21

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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.