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Finding the Fourth Proportional to 10,430.95, 14,389.88 and 9,237.15

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Solution

The fourth proportional to 10,430.95, 14,389.88 and 9,237.15 is: 12,742.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.95 : 14,389.88 = 9,237.15 : x
  2. Step 2: Convert to fraction form
    10,430.95/14,389.88 = 9,237.15/x
  3. Step 3: Cross multiply
    10,430.95x = 14,389.88 × 9,237.15
  4. Step 4: Simplify right side
    10,430.95x = 132,921,503.13
  5. Step 5: Solve for x
    x = 132,921,503.13/10,430.95
  6. Step 6: Final answer
    x = 12,742.99

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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.