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Finding the Fourth Proportional to 9,348.96, 12,898.80 and 5,570.24

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Solution

The fourth proportional to 9,348.96, 12,898.80 and 5,570.24 is: 7,685.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348.96 : 12,898.80 = 5,570.24 : x
  2. Step 2: Convert to fraction form
    9,348.96/12,898.80 = 5,570.24/x
  3. Step 3: Cross multiply
    9,348.96x = 12,898.80 × 5,570.24
  4. Step 4: Simplify right side
    9,348.96x = 71,849,411.71
  5. Step 5: Solve for x
    x = 71,849,411.71/9,348.96
  6. Step 6: Final answer
    x = 7,685.28

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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.