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Finding the Fourth Proportional to 9,590.16, 14,466.27 and 9,085.98

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Solution

The fourth proportional to 9,590.16, 14,466.27 and 9,085.98 is: 13,705.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590.16 : 14,466.27 = 9,085.98 : x
  2. Step 2: Convert to fraction form
    9,590.16/14,466.27 = 9,085.98/x
  3. Step 3: Cross multiply
    9,590.16x = 14,466.27 × 9,085.98
  4. Step 4: Simplify right side
    9,590.16x = 131,440,239.89
  5. Step 5: Solve for x
    x = 131,440,239.89/9,590.16
  6. Step 6: Final answer
    x = 13,705.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.