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Finding the Fourth Proportional to 10,430.94, 14,389.89 and 9,237.15

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Solution

The fourth proportional to 10,430.94, 14,389.89 and 9,237.15 is: 12,743.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.94 : 14,389.89 = 9,237.15 : x
  2. Step 2: Convert to fraction form
    10,430.94/14,389.89 = 9,237.15/x
  3. Step 3: Cross multiply
    10,430.94x = 14,389.89 × 9,237.15
  4. Step 4: Simplify right side
    10,430.94x = 132,921,537.77
  5. Step 5: Solve for x
    x = 132,921,537.77/10,430.94
  6. Step 6: Final answer
    x = 12,743.00

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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.